1021110112100 has 36 divisors (see below), whose sum is σ = 2386255788084. Its totient is φ = 377025271680.

The previous prime is 1021110112097. The next prime is 1021110112151. The reversal of 1021110112100 is 12110111201.

It can be written as a sum of positive squares in 6 ways, for example, as 226615985764 + 794494126336 = 476042^2 + 891344^2 .

It is a super-2 number, since 2×1021110112100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 392733359 + ... + 392735958.

Almost surely, 2^{1021110112100} is an apocalyptic number.

1021110112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021110112100 is an abundant number, since it is smaller than the sum of its proper divisors (1365145675984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1021110112100 is a wasteful number, since it uses less digits than its factorization.

1021110112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785469344 (or 785469337 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1021110112100 its reverse (12110111201), we get a palindrome (1033220223301).

The spelling of 1021110112100 in words is "one trillion, twenty-one billion, one hundred ten million, one hundred twelve thousand, one hundred".