100122311132131 has 4 divisors (see below), whose sum is σ = 101389682159200. Its totient is φ = 98854940105064.

The previous prime is 100122311132113. The next prime is 100122311132197. The reversal of 100122311132131 is 131231113221001.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 100122311132131 - 2¹⁷ = 100122311001059 is a prime.

It is a super-2 number, since 2×100122311132131² (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 (100122311139131) 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 3 ways as a sum of consecutive naturals, for example, 633685513416 + ... + 633685513573.

It is an arithmetic number, because the mean of its divisors is an integer number (25347420539800).

Almost surely, 2^{100122311132131} is an apocalyptic number.

100122311132131 is a deficient number, since it is larger than the sum of its proper divisors (1267371027069).

100122311132131 is an equidigital number, since it uses as much as digits as its factorization.

100122311132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267371027068.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 100122311132131 its reverse (131231113221001), we get a palindrome (231353424353132).

The spelling of 100122311132131 in words is "one hundred trillion, one hundred twenty-two billion, three hundred eleven million, one hundred thirty-two thousand, one hundred thirty-one".