101110561100131 has 16 divisors (see below), whose sum is σ = 111860949977856. Its totient is φ = 90620040420000.

The previous prime is 101110561100119. The next prime is 101110561100167. The reversal of 101110561100131 is 131001165011101.

It is a cyclic number.

It is not a de Polignac number, because 101110561100131 - 2⁹ = 101110561099619 is a prime.

It is a super-2 number, since 2×101110561100131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101110561100191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14805436 + ... + 20528566.

It is an arithmetic number, because the mean of its divisors is an integer number (6991309373616).

Almost surely, 2^{101110561100131} is an apocalyptic number.

101110561100131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101110561100131 is a deficient number, since it is larger than the sum of its proper divisors (10750388877725).

101110561100131 is a wasteful number, since it uses less digits than its factorization.

101110561100131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5745834.

The product of its (nonzero) digits is 90, while the sum is 22.

The spelling of 101110561100131 in words is "one hundred one trillion, one hundred ten billion, five hundred sixty-one million, one hundred thousand, one hundred thirty-one".