102323133112200 has 576 divisors, whose sum is σ = 429119699998080. Its totient is φ = 19626413875200.

The previous prime is 102323133112073. The next prime is 102323133112259. The reversal of 102323133112200 is 2211331323201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1137409 + ... + 14350608.

Almost surely, 2^{102323133112200} is an apocalyptic number.

102323133112200 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 102323133112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214559849999040).

102323133112200 is an abundant number, since it is smaller than the sum of its proper divisors (326796566885880).

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

102323133112200 is a wasteful number, since it uses less digits than its factorization.

102323133112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15488078 (or 15488058 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 102323133112200 its reverse (2211331323201), we get a palindrome (104534464435401).

The spelling of 102323133112200 in words is "one hundred two trillion, three hundred twenty-three billion, one hundred thirty-three million, one hundred twelve thousand, two hundred".