102302110213200 has 90 divisors (see below), whose sum is σ = 355016739705134. Its totient is φ = 27280562722560.

The previous prime is 102302110213141. The next prime is 102302110213241. The reversal of 102302110213200 is 2312011203201.

102302110213200 is a `hidden beast` number, since 1 + 0 + 230 + 2 + 110 + 2 + 1 + 320 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 410286367296 + 101891823845904 = 640536^2 + 10094148^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14208622819 + ... + 14208630018.

Almost surely, 2^{102302110213200} is an apocalyptic number.

102302110213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102302110213200 is an abundant number, since it is smaller than the sum of its proper divisors (252714629491934).

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

102302110213200 is a wasteful number, since it uses less digits than its factorization.

102302110213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28417252861 (or 28417252847 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102302110213200 its reverse (2312011203201), we get a palindrome (104614121416401).

Subtracting from 102302110213200 its reverse (2312011203201), we obtain a palindrome (99990099009999).

The spelling of 102302110213200 in words is "one hundred two trillion, three hundred two billion, one hundred ten million, two hundred thirteen thousand, two hundred".