10104414120031 has 24 divisors (see below), whose sum is σ = 12846077903232. Its totient is φ = 7778707107600.

The previous prime is 10104414119999. The next prime is 10104414120041. The reversal of 10104414120031 is 13002141440101.

It is not a de Polignac number, because 10104414120031 - 2⁵ = 10104414119999 is a prime.

It is a super-2 number, since 2×10104414120031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10104414119984 and 10104414120011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10104414120041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71795065 + ... + 71935666.

It is an arithmetic number, because the mean of its divisors is an integer number (535253245968).

Almost surely, 2^{10104414120031} is an apocalyptic number.

10104414120031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10104414120031 is a deficient number, since it is larger than the sum of its proper divisors (2741663783201).

10104414120031 is a wasteful number, since it uses less digits than its factorization.

10104414120031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143730843 (or 143730832 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 10104414120031 its reverse (13002141440101), we get a palindrome (23106555560132).

The spelling of 10104414120031 in words is "ten trillion, one hundred four billion, four hundred fourteen million, one hundred twenty thousand, thirty-one".