101001111022112 has 96 divisors (see below), whose sum is σ = 235060999778304. Its totient is φ = 41804544902400.

The previous prime is 101001111022087. The next prime is 101001111022169. The reversal of 101001111022112 is 211220111100101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11402198 + ... + 18221205.

It is an arithmetic number, because the mean of its divisors is an integer number (2448552081024).

Almost surely, 2^{101001111022112} is an apocalyptic number.

It is an amenable number.

101001111022112 is an abundant number, since it is smaller than the sum of its proper divisors (134059888756192).

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

101001111022112 is a wasteful number, since it uses less digits than its factorization.

101001111022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29623942 (or 29623934 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101001111022112 its reverse (211220111100101), we get a palindrome (312221222122213).

The spelling of 101001111022112 in words is "one hundred one trillion, one billion, one hundred eleven million, twenty-two thousand, one hundred twelve".