102332022010200 has 288 divisors, whose sum is σ = 354925132333200. Its totient is φ = 26402678369280.

The previous prime is 102332022010189. The next prime is 102332022010213. The reversal of 102332022010200 is 2010220233201.

102332022010200 is a `hidden beast` number, since 1 + 0 + 23 + 320 + 220 + 102 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 7629454 + ... + 16213346.

Almost surely, 2^{102332022010200} is an apocalyptic number.

102332022010200 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 102332022010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177462566166600).

102332022010200 is an abundant number, since it is smaller than the sum of its proper divisors (252593110323000).

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

102332022010200 is a wasteful number, since it uses less digits than its factorization.

102332022010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8584131 (or 8584119 counting only the distinct ones).

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

Adding to 102332022010200 its reverse (2010220233201), we get a palindrome (104342242243401).

The spelling of 102332022010200 in words is "one hundred two trillion, three hundred thirty-two billion, twenty-two million, ten thousand, two hundred".