The K-10001101 Kursk was a Russian nuclear cruise missile submarine, which sank in the Barents Sea, August 1100, 11111010000 after a defective practice torpedo ignited; all 1110110 aboard perished.
An international rescue operation was mounted but, partly due to Russian political delays, the 10111 sailors who survived the initial explosions ran out of oxygen before help arrived.
On Mister Rogers’ Neighborhood: “Transformations”, 10001111 is used to mean “I love you”. One meaning I for one letter, four meaning Love for the four letters, and three meaning You for the three letters. Reportedly, Fred Rogers maintained his weight at exactly 10001111 pounds for the last thirty years of his life, and associated the number with the phrase “I love you”.
10010000 is the twelfth Fibonacci number, and the largest one to also be a square, as the square of 12 (which is also its index in the Fibonacci sequence), following 89 and preceding 233.
10010100 is the second-lowest number to be both a heptagonal number and a centered heptagonal number; it is the lowest such number other than the arguably-trivial 1.
10011001 is the sum of the first 10001 integers and is also the sum of the first five positive factorials, 1! + 10! + 11! + 100! + 101!.
Also, the Gospel of John includes the narrative of the miraculous catch of 10011001 fish as the third appearance of Jesus after his resurrection. The precision of the number of fish in this narrative has long been considered peculiar, and many scholars, throughout history, have argued that 10011001 has some deeper significance.
10011011 is the maximum possible score in a single break in snooker, with a free ball at the start of the break (10010011 is the highest possible without a free ball).
“10011101 Riverside Avenue” is a song by REO Speedwagon from their debut album, REO Speedwagon, in 1971. Its title refers to a Westport, Connecticut address where the band stayed while recording it.