100111001111112 has 64 divisors (see below), whose sum is σ = 252277500499200. Its totient is φ = 33103848115520.

The previous prime is 100111001111039. The next prime is 100111001111137. The reversal of 100111001111112 is 211111100111001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3215203 + ... + 14510669.

It is an arithmetic number, because the mean of its divisors is an integer number (3941835945300).

Almost surely, 2^{100111001111112} is an apocalyptic number.

100111001111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100111001111112 is an abundant number, since it is smaller than the sum of its proper divisors (152166499388088).

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

100111001111112 is a wasteful number, since it uses less digits than its factorization.

100111001111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11298426 (or 11298422 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 100111001111112 its reverse (211111100111001), we get a palindrome (311222101222113).

The spelling of 100111001111112 in words is "one hundred trillion, one hundred eleven billion, one million, one hundred eleven thousand, one hundred twelve".