100201202031 has 16 divisors (see below), whose sum is σ = 152694887168. Its totient is φ = 57255076800.

The previous prime is 100201202021. The next prime is 100201202041. The reversal of 100201202031 is 130202102001.

It is an interprime number because it is at equal distance from previous prime (100201202021) and next prime (100201202041).

It is not a de Polignac number, because 100201202031 - 2²⁹ = 99664331119 is a prime.

It is a super-2 number, since 2×100201202031² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100201201998 and 100201202016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201202021) 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 15 ways as a sum of consecutive naturals, for example, 382611 + ... + 588891.

It is an arithmetic number, because the mean of its divisors is an integer number (9543430448).

Almost surely, 2^100201202031 is an apocalyptic number.

100201202031 is a deficient number, since it is larger than the sum of its proper divisors (52493685137).

100201202031 is a wasteful number, since it uses less digits than its factorization.

100201202031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229422.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100201202031 its reverse (130202102001), we get a palindrome (230403304032).

The spelling of 100201202031 in words is "one hundred billion, two hundred one million, two hundred two thousand, thirty-one".