102302210120200 has 96 divisors (see below), whose sum is σ = 245588140638720. Its totient is φ = 39590720640000.

The previous prime is 102302210120177. The next prime is 102302210120269. The reversal of 102302210120200 is 2021012203201.

It is a happy 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, 22138720 + ... + 26357680.

It is an arithmetic number, because the mean of its divisors is an integer number (2558209798320).

Almost surely, 2^{102302210120200} is an apocalyptic number.

102302210120200 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 102302210120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122794070319360).

102302210120200 is an abundant number, since it is smaller than the sum of its proper divisors (143285930518520).

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

102302210120200 is a wasteful number, since it uses less digits than its factorization.

102302210120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222919 (or 4222910 counting only the distinct ones).

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

Adding to 102302210120200 its reverse (2021012203201), we get a palindrome (104323222323401).

The spelling of 102302210120200 in words is "one hundred two trillion, three hundred two billion, two hundred ten million, one hundred twenty thousand, two hundred".