102232001302200 has 384 divisors, whose sum is σ = 439022275776000. Its totient is φ = 21243013171200.

The previous prime is 102232001302183. The next prime is 102232001302217. The reversal of 102232001302200 is 2203100232201.

102232001302200 is a `hidden beast` number, since 1 + 0 + 22 + 320 + 0 + 1 + 302 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102232001302183) and next prime (102232001302217).

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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122518305 + ... + 123349904.

It is an arithmetic number, because the mean of its divisors is an integer number (1143287176500).

Almost surely, 2^{102232001302200} is an apocalyptic number.

102232001302200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102232001302200 is an abundant number, since it is smaller than the sum of its proper divisors (336790274473800).

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

102232001302200 is a wasteful number, since it uses less digits than its factorization.

102232001302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245868252 (or 245868237 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102232001302200 its reverse (2203100232201), we get a palindrome (104435101534401).

The spelling of 102232001302200 in words is "one hundred two trillion, two hundred thirty-two billion, one million, three hundred two thousand, two hundred".