102312410200 has 384 divisors, whose sum is σ = 323479296000. Its totient is φ = 29059430400.

The previous prime is 102312410191. The next prime is 102312410257. The reversal of 102312410200 is 2014213201.

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, 15812566 + ... + 15819034.

It is an arithmetic number, because the mean of its divisors is an integer number (842394000).

Almost surely, 2^102312410200 is an apocalyptic number.

102312410200 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 102312410200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161739648000).

102312410200 is an abundant number, since it is smaller than the sum of its proper divisors (221166885800).

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

102312410200 is a wasteful number, since it uses less digits than its factorization.

102312410200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6595 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102312410200 its reverse (2014213201), we get a palindrome (104326623401).

The spelling of 102312410200 in words is "one hundred two billion, three hundred twelve million, four hundred ten thousand, two hundred".