102102661166400 has 168 divisors, whose sum is σ = 372202015909440. Its totient is φ = 27227376299520.

The previous prime is 102102661166353. The next prime is 102102661166491. The reversal of 102102661166400 is 4661166201201.

102102661166400 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 0 + 2 + 6 + 6 + 1 + 1 + 6 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1181700564 + ... + 1181786963.

Almost surely, 2^{102102661166400} is an apocalyptic number.

102102661166400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102661166400 is an abundant number, since it is smaller than the sum of its proper divisors (270099354743040).

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

102102661166400 is a wasteful number, since it uses less digits than its factorization.

102102661166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363487558 (or 2363487537 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 102102661166400 in words is "one hundred two trillion, one hundred two billion, six hundred sixty-one million, one hundred sixty-six thousand, four hundred".