100010111000112 has 60 divisors (see below), whose sum is σ = 287453986474720. Its totient is φ = 32435711673984.

The previous prime is 100010111000039. The next prime is 100010111000143. The reversal of 100010111000112 is 211000111010001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100010111000094 and 100010111000103.

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, 9385327912 + ... + 9385338567.

Almost surely, 2^{100010111000112} is an apocalyptic number.

100010111000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100010111000112 is an abundant number, since it is smaller than the sum of its proper divisors (187443875474608).

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

100010111000112 is a wasteful number, since it uses less digits than its factorization.

100010111000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18770666530 (or 18770666521 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100010111000112 its reverse (211000111010001), we get a palindrome (311010222010113).

The spelling of 100010111000112 in words is "one hundred trillion, ten billion, one hundred eleven million, one hundred twelve", and thus it is an aban number.