100120240013031 has 48 divisors (see below), whose sum is σ = 167753148186624. Its totient is φ = 56354820109632.

The previous prime is 100120240013009. The next prime is 100120240013033. The reversal of 100120240013031 is 130310042021001.

100120240013031 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 202 + 400 + 1 + 30 + 31 = 666.

It is not a de Polignac number, because 100120240013031 - 2³⁹ = 99570484199143 is a prime.

It is a super-2 number, since 2×100120240013031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100120240012995 and 100120240013013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120240013033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84562330 + ... + 85738136.

It is an arithmetic number, because the mean of its divisors is an integer number (3494857253888).

Almost surely, 2^{100120240013031} is an apocalyptic number.

100120240013031 is a deficient number, since it is larger than the sum of its proper divisors (67632908173593).

100120240013031 is a wasteful number, since it uses less digits than its factorization.

100120240013031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196060 (or 1196057 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100120240013031 its reverse (130310042021001), we get a palindrome (230430282034032).

The spelling of 100120240013031 in words is "one hundred trillion, one hundred twenty billion, two hundred forty million, thirteen thousand, thirty-one".