102351213113200 has 120 divisors (see below), whose sum is σ = 250565477403600. Its totient is φ = 40163680327680.

The previous prime is 102351213113197. The next prime is 102351213113273. The reversal of 102351213113200 is 2311312153201.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199426516 + ... + 199939084.

It is an arithmetic number, because the mean of its divisors is an integer number (2088045645030).

Almost surely, 2^{102351213113200} is an apocalyptic number.

102351213113200 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 102351213113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125282738701800).

102351213113200 is an abundant number, since it is smaller than the sum of its proper divisors (148214264290400).

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

102351213113200 is a wasteful number, since it uses less digits than its factorization.

102351213113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522059 (or 522048 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 102351213113200 its reverse (2311312153201), we get a palindrome (104662525266401).

The spelling of 102351213113200 in words is "one hundred two trillion, three hundred fifty-one billion, two hundred thirteen million, one hundred thirteen thousand, two hundred".