102233110132200 has 192 divisors, whose sum is σ = 325560496008960. Its totient is φ = 26519449144320.

The previous prime is 102233110132157. The next prime is 102233110132213. The reversal of 102233110132200 is 2231011332201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99767649 + ... + 100787151.

It is an arithmetic number, because the mean of its divisors is an integer number (1695627583380).

Almost surely, 2^{102233110132200} is an apocalyptic number.

102233110132200 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 102233110132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162780248004480).

102233110132200 is an abundant number, since it is smaller than the sum of its proper divisors (223327385876760).

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

102233110132200 is a wasteful number, since it uses less digits than its factorization.

102233110132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024076 (or 1024067 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 102233110132200 its reverse (2231011332201), we get a palindrome (104464121464401).

The spelling of 102233110132200 in words is "one hundred two trillion, two hundred thirty-three billion, one hundred ten million, one hundred thirty-two thousand, two hundred".