111001110112100 has 72 divisors (see below), whose sum is σ = 261919512953280. Its totient is φ = 40587112356480.

The previous prime is 111001110112069. The next prime is 111001110112111. The reversal of 111001110112100 is 1211011100111.

It is a happy number.

It is a super-2 number, since 2×111001110112100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414358670 + ... + 414626469.

It is an arithmetic number, because the mean of its divisors is an integer number (3637771013240).

Almost surely, 2^{111001110112100} is an apocalyptic number.

111001110112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111001110112100 is an abundant number, since it is smaller than the sum of its proper divisors (150918402841180).

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

111001110112100 is a wasteful number, since it uses less digits than its factorization.

111001110112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828985269 (or 828985262 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 111001110112100 its reverse (1211011100111), we get a palindrome (112212121212211).

The spelling of 111001110112100 in words is "one hundred eleven trillion, one billion, one hundred ten million, one hundred twelve thousand, one hundred".