102202332311100 has 324 divisors, whose sum is σ = 359589949837944. Its totient is φ = 22344856047360.

The previous prime is 102202332311069. The next prime is 102202332311117. The reversal of 102202332311100 is 1113233202201.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 107 ways as a sum of consecutive naturals, for example, 1204902 + ... + 14347698.

Almost surely, 2^{102202332311100} is an apocalyptic number.

102202332311100 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 102202332311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179794974918972).

102202332311100 is an abundant number, since it is smaller than the sum of its proper divisors (257387617526844).

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

102202332311100 is a wasteful number, since it uses less digits than its factorization.

102202332311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13142874 (or 13142837 counting only the distinct ones).

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

Adding to 102202332311100 its reverse (1113233202201), we get a palindrome (103315565513301).

The spelling of 102202332311100 in words is "one hundred two trillion, two hundred two billion, three hundred thirty-two million, three hundred eleven thousand, one hundred".