102210002122200 has 192 divisors, whose sum is σ = 374602175712000. Its totient is φ = 22556690096640.

The previous prime is 102210002122159. The next prime is 102210002122213. The reversal of 102210002122200 is 2221200012201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102210002122200.

It is a congruent number.

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, 419459490 + ... + 419703089.

It is an arithmetic number, because the mean of its divisors is an integer number (1951052998500).

Almost surely, 2^{102210002122200} is an apocalyptic number.

102210002122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210002122200 is an abundant number, since it is smaller than the sum of its proper divisors (272392173589800).

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

102210002122200 is a wasteful number, since it uses less digits than its factorization.

102210002122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839162634 (or 839162625 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102210002122200 its reverse (2221200012201), we get a palindrome (104431202134401).

The spelling of 102210002122200 in words is "one hundred two trillion, two hundred ten billion, two million, one hundred twenty-two thousand, two hundred".