102202121202200 has 48 divisors (see below), whose sum is σ = 237643762757280. Its totient is φ = 40876748530560.

The previous prime is 102202121202199. The next prime is 102202121202343. The reversal of 102202121202200 is 2202121202201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23625104 + ... + 27614303.

It is an arithmetic number, because the mean of its divisors is an integer number (4950911724110).

Almost surely, 2^{102202121202200} is an apocalyptic number.

102202121202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202121202200 is an abundant number, since it is smaller than the sum of its proper divisors (135441641555080).

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

102202121202200 is a wasteful number, since it uses less digits than its factorization.

102202121202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51249396 (or 51249387 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102202121202200 its reverse (2202121202201), we get a palindrome (104404242404401).

Subtracting from 102202121202200 its reverse (2202121202201), we obtain a palindrome (99999999999999).

The spelling of 102202121202200 in words is "one hundred two trillion, two hundred two billion, one hundred twenty-one million, two hundred two thousand, two hundred".