101100110110112 has 24 divisors (see below), whose sum is σ = 209516675558400. Its totient is φ = 47889525841344.

The previous prime is 101100110110073. The next prime is 101100110110147. The reversal of 101100110110112 is 211011011001101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101100110110093 and 101100110110102.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83141537312 + ... + 83141538527.

It is an arithmetic number, because the mean of its divisors is an integer number (8729861481600).

Almost surely, 2^{101100110110112} is an apocalyptic number.

It is an amenable number.

101100110110112 is an abundant number, since it is smaller than the sum of its proper divisors (108416565448288).

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

101100110110112 is a wasteful number, since it uses less digits than its factorization.

101100110110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166283075868 (or 166283075860 counting only the distinct ones).

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

Adding to 101100110110112 its reverse (211011011001101), we get a palindrome (312111121111213).

The spelling of 101100110110112 in words is "one hundred one trillion, one hundred billion, one hundred ten million, one hundred ten thousand, one hundred twelve".