The space where a token spends most of its time is Jail, especially if you count Just Visiting as the same.
In addition to the dice probability, you have to figure in the Chance and Community Chest cards that send you to another space.
Because tokens spend so much time in jail, the second and third sides of the board (between “Jail” and “Go to Jail” are generally landed on more than the first and fourth sides.
The most-landed-on space aside from Jail is Illinois Ave.
And on preview, I see other folks have provided links.
Incidentally, I did some brute force calculations years ago and figured out that the only space you CAN’T land on in one turn, starting from Go, is Mediterranean Ave. (one space forward from Go).