100031010121031 has 64 divisors (see below), whose sum is σ = 117774757900800. Its totient is φ = 83942455296000.

The previous prime is 100031010121013. The next prime is 100031010121033. The reversal of 100031010121031 is 130121010130001.

It is a happy number.

It is not a de Polignac number, because 100031010121031 - 2⁶ = 100031010120967 is a prime.

It is a super-2 number, since 2×100031010121031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100031010120997 and 100031010121015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100031010121033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9737268311 + ... + 9737278583.

It is an arithmetic number, because the mean of its divisors is an integer number (1840230592200).

Almost surely, 2^{100031010121031} is an apocalyptic number.

100031010121031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100031010121031 is a deficient number, since it is larger than the sum of its proper divisors (17743747779769).

100031010121031 is a wasteful number, since it uses less digits than its factorization.

100031010121031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12320.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 100031010121031 its reverse (130121010130001), we get a palindrome (230152020251032).

The spelling of 100031010121031 in words is "one hundred trillion, thirty-one billion, ten million, one hundred twenty-one thousand, thirty-one".