100210210031 has 8 divisors (see below), whose sum is σ = 100487247360. Its totient is φ = 99933253632.

The previous prime is 100210210003. The next prime is 100210210081. The reversal of 100210210031 is 130012012001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100210210031 - 2³⁴ = 83030340847 is a prime.

It is a super-2 number, since 2×100210210031² (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 = 100210209994 and 100210210021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210210081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3128111 + ... + 3159983.

It is an arithmetic number, because the mean of its divisors is an integer number (12560905920).

Almost surely, 2^100210210031 is an apocalyptic number.

100210210031 is a deficient number, since it is larger than the sum of its proper divisors (277037329).

100210210031 is an equidigital number, since it uses as much as digits as its factorization.

100210210031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40465.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100210210031 its reverse (130012012001), we get a palindrome (230222222032).

The spelling of 100210210031 in words is "one hundred billion, two hundred ten million, two hundred ten thousand, thirty-one".