10010111199975 has 72 divisors (see below), whose sum is σ = 18565472671200. Its totient is φ = 5149628870400.

The previous prime is 10010111199953. The next prime is 10010111199997. The reversal of 10010111199975 is 57999111101001.

It is an interprime number because it is at equal distance from previous prime (10010111199953) and next prime (10010111199997).

It is not a de Polignac number, because 10010111199975 - 2⁵ = 10010111199943 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10010111199975.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5983281 + ... + 7471269.

It is an arithmetic number, because the mean of its divisors is an integer number (257853787100).

Almost surely, 2^{10010111199975} is an apocalyptic number.

10010111199975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10010111199975 is a deficient number, since it is larger than the sum of its proper divisors (8555361471225).

10010111199975 is a wasteful number, since it uses less digits than its factorization.

10010111199975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489065 (or 1489057 counting only the distinct ones).

The product of its (nonzero) digits is 25515, while the sum is 45.

The spelling of 10010111199975 in words is "ten trillion, ten billion, one hundred eleven million, one hundred ninety-nine thousand, nine hundred seventy-five".