102151680000 has 520 divisors, whose sum is σ = 348824940288. Its totient is φ = 26566656000.

The previous prime is 102151679977. The next prime is 102151680011. The reversal of 102151680000 is 86151201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 360959859 + ... + 360960141.

Almost surely, 2^102151680000 is an apocalyptic number.

102151680000 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 102151680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174412470144).

102151680000 is an abundant number, since it is smaller than the sum of its proper divisors (246673260288).

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

102151680000 is an frugal number, since it uses more digits than its factorization.

102151680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The spelling of 102151680000 in words is "one hundred two billion, one hundred fifty-one million, six hundred eighty thousand".