100031031021 has 24 divisors (see below), whose sum is σ = 138544611744. Its totient is φ = 64163927520.

The previous prime is 100031031017. The next prime is 100031031059. The reversal of 100031031021 is 120130130001.

It is not a de Polignac number, because 100031031021 - 2² = 100031031017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100031030988 and 100031031006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100031031011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 492711 + ... + 665451.

It is an arithmetic number, because the mean of its divisors is an integer number (5772692156).

Almost surely, 2^100031031021 is an apocalyptic number.

It is an amenable number.

100031031021 is a deficient number, since it is larger than the sum of its proper divisors (38513580723).

100031031021 is an equidigital number, since it uses as much as digits as its factorization.

100031031021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172921 (or 172854 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100031031021 its reverse (120130130001), we get a palindrome (220161161022).

The spelling of 100031031021 in words is "one hundred billion, thirty-one million, thirty-one thousand, twenty-one".