The joke in Egyptology circles is that Ramses II created more cubic yardage of statues of himself than anyone else in history, before or since. (Maybe Stalin or Mao came close due to sheer industrial capacity).
However, we generally only have a few scattered papyri and walls and walls of hieroglyphic inscriptions on temples touting his good works and victories.
There’s probably more detail on Obama in the section of any public library in the world. There’s probably more detail on Obama in any single book than everything we know of Ramses II.
A lot of the detail WILL be in book form, and assuming we don’t have a book-burning dark age or nuclear apocalypse, a lot of those will survive. Plus, there’s a lot of detail on microfilm. The vast archives of newspapers from the late 1800’s have been transferred to microfilm. Converting microfilm to electronic copy is an art that can only get better - the biggest issue is character recognition (image to text). Newspaper text today is still being stored.
We are lacking a lot of the trivial detail - correspondence, receipts, shipping records, etc. - from the time or Ramses. By contrast, a big part of every president’s legacy lately is to create a personal library, and the funded institution to pay for its upkeep.
Copying old archive to new is trivial, and storage capacity makes this easy. There are still computer games available from the days before personal hard disks - one company IIRC is making a Commodore 64 emulator, for example - collecting many of the programs, transcribing them to a modern media to be fed into a computer emulator. I believe the same will happen for other data.
The largest obstacle is copyright. So much of the early 20th century is lost (as the movie Hugo so eloquently pointed out) because nobody had the financial interest and equipment to properly preserve these products. But for text and images, especially text, the capability is there. Text especially is incredibly simple and cheap to capture and keep. If the authors won’t make works available, go to BitTorrent and see the number of books made available by others , by various means, including the simple process of digitizing and doing OCR on each page, by amateur contributors with no legal right.
Somewhere on my hard drives, for example, I have some stuff from around 1992. I inherited my boss’s laptop, and he left in a hurry and did not wipe it. There are some interesting correspondence about my co-workers. It went into my home computer documents, and that material has followed me as I copy my data from old computer to new computer. There may be some interesting material on floppies that got tossed, but far more got converted to hard disk files, and now gets copied as a matter of course as the hardware is updated.
At a certain point, that material, if interesting, is copied to archives and distributed to thousands of different libraries. Certainly the highlights are everywhere.
For example, too, various media companies have massive vaults full of historical material. As it gets simpler, cheaper and convenient to digitize instead, that material will also become part of the digital domain. As such, it will be kept in media that can more and more easily be copied to the next best thing. (The company I used to work for kept vaults of tapes of their historical data - those were easily converted to hard drive before the tapes deteriorated or the drives became obsolete. Similarly, massive stacks of engineering drawings are being digitized.
Any university or big city library has far more information about the modern era than we have of any historical times. It’s hard to imagine them all being destroyed. Similarly, every media company is brimming with digital data and multimedia about the current era - it’s hard to imagine any of them being destroyed.
We have Greek works because they were copied and kept by the Romans. When Rome fell, the same documents were preserved by monks, or traded over the Byzantine, Ottoman and Arab empires until the Renaissance was ready for them. I imagine the same here - unless we have a world-wide dark ages, it will be preserved. Even if not - we’ve decoded many ancient inscriptions whose languages were totally forgotten. A future civilization will no doubt be able to do the same for our data, when they get to the necessary level of technology. Based on the number of computers in the world - which will only increase exponentially - they will have a lot of raw material to work with.