10100710744002 has 80 divisors (see below), whose sum is σ = 22662968997240. Its totient is φ = 3362458272768.

The previous prime is 10100710743979. The next prime is 10100710744039. The reversal of 10100710744002 is 20044701700101.

10100710744002 is a `hidden beast` number, since 10 + 100 + 7 + 107 + 440 + 0 + 2 = 666.

10100710744002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3937204409121 + 6163506334881 = 1984239^2 + 2482641^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1217976168 + ... + 1217984460.

Almost surely, 2^{10100710744002} is an apocalyptic number.

10100710744002 is an abundant number, since it is smaller than the sum of its proper divisors (12562258253238).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10100710744002 is an equidigital number, since it uses as much as digits as its factorization.

10100710744002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17329 (or 17320 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The spelling of 10100710744002 in words is "ten trillion, one hundred billion, seven hundred ten million, seven hundred forty-four thousand, two".