102016963012800 has 504 divisors, whose sum is σ = 368043775722000. Its totient is φ = 24721323827200.

The previous prime is 102016963012711. The next prime is 102016963012807. The reversal of 102016963012800 is 8210369610201.

It is not an unprimeable number, because it can be changed into a prime (102016963012807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1480424746 + ... + 1480493654.

It is an arithmetic number, because the mean of its divisors is an integer number (730245586750).

Almost surely, 2^{102016963012800} is an apocalyptic number.

102016963012800 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 102016963012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184021887861000).

102016963012800 is an abundant number, since it is smaller than the sum of its proper divisors (266026812709200).

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

102016963012800 is a wasteful number, since it uses less digits than its factorization.

102016963012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71505 (or 71479 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 102016963012800 in words is "one hundred two trillion, sixteen billion, nine hundred sixty-three million, twelve thousand, eight hundred".