101022112112 has 40 divisors (see below), whose sum is σ = 206114203680. Its totient is φ = 47871648000.

The previous prime is 101022112099. The next prime is 101022112133. The reversal of 101022112112 is 211211220101.

101022112112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1219139 + ... + 1299362.

It is an arithmetic number, because the mean of its divisors is an integer number (5152855092).

Almost surely, 2^101022112112 is an apocalyptic number.

It is an amenable number.

101022112112 is an abundant number, since it is smaller than the sum of its proper divisors (105092091568).

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

101022112112 is a wasteful number, since it uses less digits than its factorization.

101022112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518641 (or 2518635 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101022112112 its reverse (211211220101), we get a palindrome (312233332213).

The spelling of 101022112112 in words is "one hundred one billion, twenty-two million, one hundred twelve thousand, one hundred twelve".