101122131131 has 32 divisors (see below), whose sum is σ = 125734256640. Its totient is φ = 79417933056.

The previous prime is 101122131079. The next prime is 101122131137. The reversal of 101122131131 is 131131221101.

It is not a de Polignac number, because 101122131131 - 2²⁶ = 101055022267 is a prime.

It is a super-2 number, since 2×101122131131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101122131137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 507695 + ... + 678231.

It is an arithmetic number, because the mean of its divisors is an integer number (3929195520).

Almost surely, 2^101122131131 is an apocalyptic number.

101122131131 is a deficient number, since it is larger than the sum of its proper divisors (24612125509).

101122131131 is a wasteful number, since it uses less digits than its factorization.

101122131131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170723.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 101122131131 its reverse (131131221101), we get a palindrome (232253352232).

The spelling of 101122131131 in words is "one hundred one billion, one hundred twenty-two million, one hundred thirty-one thousand, one hundred thirty-one".