100102000031 has 16 divisors (see below), whose sum is σ = 116231251968. Its totient is φ = 85200316800.

The previous prime is 100102000013. The next prime is 100102000073. The reversal of 100102000031 is 130000201001.

It is a cyclic number.

It is not a de Polignac number, because 100102000031 - 2¹⁴ = 100101983647 is a prime.

It is a super-2 number, since 2×100102000031² (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 = 100101999982 and 100102000018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102000081) 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, 1365605 + ... + 1437038.

It is an arithmetic number, because the mean of its divisors is an integer number (7264453248).

Almost surely, 2^100102000031 is an apocalyptic number.

100102000031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100102000031 is a deficient number, since it is larger than the sum of its proper divisors (16129251937).

100102000031 is a wasteful number, since it uses less digits than its factorization.

100102000031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802862.

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

Adding to 100102000031 its reverse (130000201001), we get a palindrome (230102201032).

The spelling of 100102000031 in words is "one hundred billion, one hundred two million, thirty-one", and thus it is an aban number.