100022011122131 has 16 divisors (see below), whose sum is σ = 120538702924800. Its totient is φ = 81078137949888.

The previous prime is 100022011122067. The next prime is 100022011122151. The reversal of 100022011122131 is 131221110220001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100022011122131 - 2⁶ = 100022011122067 is a prime.

It is a super-2 number, since 2×100022011122131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100022011122151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 660772475 + ... + 660923828.

It is an arithmetic number, because the mean of its divisors is an integer number (7533668932800).

Almost surely, 2^{100022011122131} is an apocalyptic number.

100022011122131 is a deficient number, since it is larger than the sum of its proper divisors (20516691802669).

100022011122131 is a wasteful number, since it uses less digits than its factorization.

100022011122131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321696898.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 100022011122131 its reverse (131221110220001), we get a palindrome (231243121342132).

The spelling of 100022011122131 in words is "one hundred trillion, twenty-two billion, eleven million, one hundred twenty-two thousand, one hundred thirty-one".