102521116800 has 576 divisors, whose sum is σ = 391697429760. Its totient is φ = 26450841600.

The previous prime is 102521116799. The next prime is 102521116823. The reversal of 102521116800 is 8611125201.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 24103474 + ... + 24107726.

It is an arithmetic number, because the mean of its divisors is an integer number (680030260).

Almost surely, 2^102521116800 is an apocalyptic number.

102521116800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102521116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195848714880).

102521116800 is an abundant number, since it is smaller than the sum of its proper divisors (289176312960).

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

102521116800 is an equidigital number, since it uses as much as digits as its factorization.

102521116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4323 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 102521116800 in words is "one hundred two billion, five hundred twenty-one million, one hundred sixteen thousand, eight hundred".