100100212131 has 16 divisors (see below), whose sum is σ = 137782842368. Its totient is φ = 64575856800.

The previous prime is 100100212117. The next prime is 100100212181. The reversal of 100100212131 is 131212001001.

It is not a de Polignac number, because 100100212131 - 2⁹ = 100100211619 is a prime.

It is a super-2 number, since 2×100100212131² (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 (100100212181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1490580 + ... + 1556286.

It is an arithmetic number, because the mean of its divisors is an integer number (8611427648).

Almost surely, 2^100100212131 is an apocalyptic number.

100100212131 is a deficient number, since it is larger than the sum of its proper divisors (37682630237).

100100212131 is a wasteful number, since it uses less digits than its factorization.

100100212131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82122.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100100212131 its reverse (131212001001), we get a palindrome (231312213132).

The spelling of 100100212131 in words is "one hundred billion, one hundred million, two hundred twelve thousand, one hundred thirty-one".