100110111012112 has 60 divisors (see below), whose sum is σ = 206051351869440. Its totient is φ = 47108982788608.

The previous prime is 100110111012083. The next prime is 100110111012137. The reversal of 100110111012112 is 211210111011001.

It is a junction number, because it is equal to n+sod(n) for n = 100110111012092 and 100110111012101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136351689 + ... + 137083927.

It is an arithmetic number, because the mean of its divisors is an integer number (3434189197824).

Almost surely, 2^{100110111012112} is an apocalyptic number.

It is an amenable number.

100110111012112 is an abundant number, since it is smaller than the sum of its proper divisors (105941240857328).

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

100110111012112 is a wasteful number, since it uses less digits than its factorization.

100110111012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761848 (or 761825 counting only the distinct ones).

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

Adding to 100110111012112 its reverse (211210111011001), we get a palindrome (311320222023113).

The spelling of 100110111012112 in words is "one hundred trillion, one hundred ten billion, one hundred eleven million, twelve thousand, one hundred twelve".