10102299972960 has 96 divisors (see below), whose sum is σ = 34270109929440. Its totient is φ = 2486719991808.

The previous prime is 10102299972901. The next prime is 10102299972991. The reversal of 10102299972960 is 6927999220101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 10102299972960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 809472925 + ... + 809485404.

It is an arithmetic number, because the mean of its divisors is an integer number (356980311765).

Almost surely, 2^{10102299972960} is an apocalyptic number.

10102299972960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102299972960 is an abundant number, since it is smaller than the sum of its proper divisors (24167809956480).

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

10102299972960 is a wasteful number, since it uses less digits than its factorization.

10102299972960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618958360 (or 1618958352 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 57.

The spelling of 10102299972960 in words is "ten trillion, one hundred two billion, two hundred ninety-nine million, nine hundred seventy-two thousand, nine hundred sixty".