101111011122112 has 28 divisors (see below), whose sum is σ = 201002382088920. Its totient is φ = 50464741619456.

The previous prime is 101111011122089. The next prime is 101111011122113. The reversal of 101111011122112 is 211221110111101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111011122113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1418150662 + ... + 1418221957.

Almost surely, 2^{101111011122112} is an apocalyptic number.

It is an amenable number.

101111011122112 is a deficient number, since it is larger than the sum of its proper divisors (99891370966808).

101111011122112 is an equidigital number, since it uses as much as digits as its factorization.

101111011122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836373188 (or 2836373178 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 101111011122112 its reverse (211221110111101), we get a palindrome (312332121233213).

The spelling of 101111011122112 in words is "one hundred one trillion, one hundred eleven billion, eleven million, one hundred twenty-two thousand, one hundred twelve".