102012300220320 has 288 divisors, whose sum is σ = 400288762403712. Its totient is φ = 23174047143936.

The previous prime is 102012300220301. The next prime is 102012300220349. The reversal of 102012300220320 is 23022003210201.

102012300220320 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 123 + 0 + 0 + 220 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102012300220293 and 102012300220302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29400727 + ... + 32686806.

It is an arithmetic number, because the mean of its divisors is an integer number (1389891536124).

Almost surely, 2^{102012300220320} is an apocalyptic number.

102012300220320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012300220320 is an abundant number, since it is smaller than the sum of its proper divisors (298276462183392).

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

102012300220320 is a wasteful number, since it uses less digits than its factorization.

102012300220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62087724 (or 62087713 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102012300220320 its reverse (23022003210201), we get a palindrome (125034303430521).

The spelling of 102012300220320 in words is "one hundred two trillion, twelve billion, three hundred million, two hundred twenty thousand, three hundred twenty".