100111120110112 has 48 divisors (see below), whose sum is σ = 201970155770712. Its totient is φ = 48817949460480.

The previous prime is 100111120110107. The next prime is 100111120110167. The reversal of 100111120110112 is 211011021111001.

It can be written as a sum of positive squares in 4 ways, for example, as 63821628456336 + 36289491653776 = 7988844^2 + 6024076^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100111120110092 and 100111120110101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9252123 + ... + 16906330.

Almost surely, 2^{100111120110112} is an apocalyptic number.

It is an amenable number.

100111120110112 is an abundant number, since it is smaller than the sum of its proper divisors (101859035660600).

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

100111120110112 is a wasteful number, since it uses less digits than its factorization.

100111120110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26161421 (or 26161413 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 100111120110112 its reverse (211011021111001), we get a palindrome (311122141221113).

The spelling of 100111120110112 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty million, one hundred ten thousand, one hundred twelve".