100010210031 has 20 divisors (see below), whose sum is σ = 149535540352. Its totient is φ = 66612077568.

The previous prime is 100010210009. The next prime is 100010210051. The reversal of 100010210031 is 130012010001.

It is not a de Polignac number, because 100010210031 - 2¹³ = 100010201839 is a prime.

It is a super-2 number, since 2×100010210031² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100010209995 and 100010210022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010210051) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 479890 + ... + 655983.

Almost surely, 2^100010210031 is an apocalyptic number.

100010210031 is a deficient number, since it is larger than the sum of its proper divisors (49525330321).

100010210031 is a wasteful number, since it uses less digits than its factorization.

100010210031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136972 (or 1136963 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100010210031 its reverse (130012010001), we get a palindrome (230022220032).

The spelling of 100010210031 in words is "one hundred billion, ten million, two hundred ten thousand, thirty-one".