100002100031 has 4 divisors (see below), whose sum is σ = 100919550600. Its totient is φ = 99084649464.

The previous prime is 100002099971. The next prime is 100002100043. The reversal of 100002100031 is 130001200001.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 100002100031 - 2¹⁰ = 100002099007 is a prime.

It is a super-2 number, since 2×100002100031² (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 = 100002099991 and 100002100018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002106031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 458725121 + ... + 458725338.

It is an arithmetic number, because the mean of its divisors is an integer number (25229887650).

Almost surely, 2^100002100031 is an apocalyptic number.

100002100031 is a deficient number, since it is larger than the sum of its proper divisors (917450569).

100002100031 is an equidigital number, since it uses as much as digits as its factorization.

100002100031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917450568.

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 100002100031 its reverse (130001200001), we get a palindrome (230003300032).

The spelling of 100002100031 in words is "one hundred billion, two million, one hundred thousand, thirty-one".