102122956800 has 216 divisors, whose sum is σ = 365739462270. Its totient is φ = 27232665600.

The previous prime is 102122956787. The next prime is 102122956841. The reversal of 102122956800 is 8659221201.

It can be written as a sum of positive squares in 3 ways, for example, as 77667001344 + 24455955456 = 278688^2 + 156384^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 349990 + ... + 571610.

Almost surely, 2^102122956800 is an apocalyptic number.

102122956800 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 102122956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182869731135).

102122956800 is an abundant number, since it is smaller than the sum of its proper divisors (263616505470).

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

102122956800 is a wasteful number, since it uses less digits than its factorization.

102122956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221659 (or 221631 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 102122956800 in words is "one hundred two billion, one hundred twenty-two million, nine hundred fifty-six thousand, eight hundred".