102149775956800 has 672 divisors, whose sum is σ = 312862414273920. Its totient is φ = 32250750566400.

The previous prime is 102149775956687. The next prime is 102149775956819. The reversal of 102149775956800 is 8659577941201.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6911811811 + ... + 6911826589.

It is an arithmetic number, because the mean of its divisors is an integer number (465569068860).

Almost surely, 2^{102149775956800} is an apocalyptic number.

102149775956800 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 102149775956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156431207136960).

102149775956800 is an abundant number, since it is smaller than the sum of its proper divisors (210712638317120).

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

102149775956800 is a wasteful number, since it uses less digits than its factorization.

102149775956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16619 (or 16604 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 64.

The spelling of 102149775956800 in words is "one hundred two trillion, one hundred forty-nine billion, seven hundred seventy-five million, nine hundred fifty-six thousand, eight hundred".