100022220112131 has 24 divisors (see below), whose sum is σ = 145211333280000. Its totient is φ = 66342385316592.

The previous prime is 100022220112123. The next prime is 100022220112151. The reversal of 100022220112131 is 131211022220001.

100022220112131 is a `hidden beast` number, since 100 + 0 + 222 + 201 + 12 + 131 = 666.

It is not a de Polignac number, because 100022220112131 - 2³ = 100022220112123 is a prime.

It is a super-2 number, since 2×100022220112131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100022220112151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28084410 + ... + 31444848.

It is an arithmetic number, because the mean of its divisors is an integer number (6050472220000).

Almost surely, 2^{100022220112131} is an apocalyptic number.

100022220112131 is a deficient number, since it is larger than the sum of its proper divisors (45189113167869).

100022220112131 is a wasteful number, since it uses less digits than its factorization.

100022220112131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3377263 (or 3377260 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100022220112131 its reverse (131211022220001), we get a palindrome (231233242332132).

The spelling of 100022220112131 in words is "one hundred trillion, twenty-two billion, two hundred twenty million, one hundred twelve thousand, one hundred thirty-one".