102313203100200 has 240 divisors, whose sum is σ = 360216709355580. Its totient is φ = 26909773655040.

The previous prime is 102313203100123. The next prime is 102313203100201. The reversal of 102313203100200 is 2001302313201.

102313203100200 is a `hidden beast` number, since 1 + 0 + 2 + 31 + 320 + 310 + 0 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 21189063572964 + 81124139527236 = 4603158^2 + 9006894^2 .

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

It is not an unprimeable number, because it can be changed into a prime (102313203100201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 42075139 + ... + 44440338.

Almost surely, 2^{102313203100200} is an apocalyptic number.

102313203100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102313203100200 is an abundant number, since it is smaller than the sum of its proper divisors (257903506255380).

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

102313203100200 is a wasteful number, since it uses less digits than its factorization.

102313203100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86515578 (or 86515560 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102313203100200 its reverse (2001302313201), we get a palindrome (104314505413401).

The spelling of 102313203100200 in words is "one hundred two trillion, three hundred thirteen billion, two hundred three million, one hundred thousand, two hundred".