100031220025 has 48 divisors (see below), whose sum is σ = 137164435200. Its totient is φ = 71757504000.

The previous prime is 100031219941. The next prime is 100031220041. The reversal of 100031220025 is 520022130001.

It is not a de Polignac number, because 100031220025 - 2²⁹ = 99494349113 is a prime.

It is a super-2 number, since 2×100031220025² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100031219990 and 100031220008.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32173171 + ... + 32176279.

It is an arithmetic number, because the mean of its divisors is an integer number (2857592400).

Almost surely, 2^100031220025 is an apocalyptic number.

It is an amenable number.

100031220025 is a deficient number, since it is larger than the sum of its proper divisors (37133215175).

100031220025 is a wasteful number, since it uses less digits than its factorization.

100031220025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4690 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 100031220025 its reverse (520022130001), we get a palindrome (620053350026).

The spelling of 100031220025 in words is "one hundred billion, thirty-one million, two hundred twenty thousand, twenty-five".