101022112110112 has 12 divisors (see below), whose sum is σ = 198887283216846. Its totient is φ = 50511056055040.

The previous prime is 101022112110109. The next prime is 101022112110181. The reversal of 101022112110112 is 211011211220101.

It can be written as a sum of positive squares in only one way, i.e., 81600075292176 + 19422036817936 = 9033276^2 + 4407044^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1578470501689 + ... + 1578470501752.

Almost surely, 2^{101022112110112} is an apocalyptic number.

It is an amenable number.

101022112110112 is a deficient number, since it is larger than the sum of its proper divisors (97865171106734).

101022112110112 is an equidigital number, since it uses as much as digits as its factorization.

101022112110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156941003451 (or 3156941003443 counting only the distinct ones).

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

Adding to 101022112110112 its reverse (211011211220101), we get a palindrome (312033323330213).

The spelling of 101022112110112 in words is "one hundred one trillion, twenty-two billion, one hundred twelve million, one hundred ten thousand, one hundred twelve".