10100375660317 has 16 divisors (see below), whose sum is σ = 10476715158000. Its totient is φ = 9725917630464.

The previous prime is 10100375660281. The next prime is 10100375660329. The reversal of 10100375660317 is 71306657300101.

It can be written as a sum of positive squares in 8 ways, for example, as 20582493156 + 10079793167161 = 143466^2 + 3174869^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10100375660317 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10100375660317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100375660357) 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, 50582409 + ... + 50781697.

It is an arithmetic number, because the mean of its divisors is an integer number (654794697375).

Almost surely, 2^{10100375660317} is an apocalyptic number.

It is an amenable number.

10100375660317 is a deficient number, since it is larger than the sum of its proper divisors (376339497683).

10100375660317 is a wasteful number, since it uses less digits than its factorization.

10100375660317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204000.

The product of its (nonzero) digits is 79380, while the sum is 40.

The spelling of 10100375660317 in words is "ten trillion, one hundred billion, three hundred seventy-five million, six hundred sixty thousand, three hundred seventeen".