102251385603216 has 30 divisors (see below), whose sum is σ = 286161863876070. Its totient is φ = 34083795201024.

The previous prime is 102251385603193. The next prime is 102251385603221. The reversal of 102251385603216 is 612306583152201.

It is a happy number.

102251385603216 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 5 + 1 + 38 + 5 + 603 + 2 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75900616713216 + 26350768890000 = 8712096^2 + 5133300^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 355039533201 + ... + 355039533488.

It is an arithmetic number, because the mean of its divisors is an integer number (9538728795869).

Almost surely, 2^{102251385603216} is an apocalyptic number.

102251385603216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102251385603216 is an abundant number, since it is smaller than the sum of its proper divisors (183910478272854).

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

102251385603216 is a wasteful number, since it uses less digits than its factorization.

102251385603216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710079066703 (or 710079066694 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 102251385603216 in words is "one hundred two trillion, two hundred fifty-one billion, three hundred eighty-five million, six hundred three thousand, two hundred sixteen".