10002100031 has 16 divisors (see below), whose sum is σ = 12488007168. Its totient is φ = 7782684000.

The previous prime is 10002100027. The next prime is 10002100039. The reversal of 10002100031 is 13000120001.

It is not a de Polignac number, because 10002100031 - 2² = 10002100027 is a prime.

It is a super-2 number, since 2×10002100031² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10002099991 and 10002100018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002100039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38675 + ... + 146628.

It is an arithmetic number, because the mean of its divisors is an integer number (780500448).

Almost surely, 2^10002100031 is an apocalyptic number.

10002100031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10002100031 is a deficient number, since it is larger than the sum of its proper divisors (2485907137).

10002100031 is a wasteful number, since it uses less digits than its factorization.

10002100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186022.

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

Adding to 10002100031 its reverse (13000120001), we get a palindrome (23002220032).

The spelling of 10002100031 in words is "ten billion, two million, one hundred thousand, thirty-one".