100002302013120 has 224 divisors, whose sum is σ = 348382477662912. Its totient is φ = 24151499194368.

The previous prime is 100002302013077. The next prime is 100002302013151. The reversal of 100002302013120 is 21310203200001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100002302013120.

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 31 ways as a sum of consecutive naturals, for example, 74932947 + ... + 76255826.

It is an arithmetic number, because the mean of its divisors is an integer number (1555278918138).

Almost surely, 2^{100002302013120} is an apocalyptic number.

100002302013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100002302013120 is an abundant number, since it is smaller than the sum of its proper divisors (248380175649792).

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

100002302013120 is a wasteful number, since it uses less digits than its factorization.

100002302013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151188859 (or 151188849 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100002302013120 its reverse (21310203200001), we get a palindrome (121312505213121).

The spelling of 100002302013120 in words is "one hundred trillion, two billion, three hundred two million, thirteen thousand, one hundred twenty".