102120921746664 has 256 divisors, whose sum is σ = 265237974144000. Its totient is φ = 32739323904000.

The previous prime is 102120921746659. The next prime is 102120921746671. The reversal of 102120921746664 is 466647129021201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44652784929 + ... + 44652787215.

It is an arithmetic number, because the mean of its divisors is an integer number (1036085836500).

Almost surely, 2^{102120921746664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102120921746664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132618987072000).

102120921746664 is an abundant number, since it is smaller than the sum of its proper divisors (163117052397336).

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

102120921746664 is a wasteful number, since it uses less digits than its factorization.

102120921746664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 102120921746664 in words is "one hundred two trillion, one hundred twenty billion, nine hundred twenty-one million, seven hundred forty-six thousand, six hundred sixty-four".