102122102200 has 96 divisors (see below), whose sum is σ = 256300783200. Its totient is φ = 37725416960.

The previous prime is 102122102183. The next prime is 102122102213. The reversal of 102122102200 is 2201221201.

It is a happy number.

102122102200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249367 + ... + 516166.

It is an arithmetic number, because the mean of its divisors is an integer number (2669799825).

Almost surely, 2^102122102200 is an apocalyptic number.

102122102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122102200 is an abundant number, since it is smaller than the sum of its proper divisors (154178681000).

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

102122102200 is a wasteful number, since it uses less digits than its factorization.

102122102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765601 (or 765592 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102122102200 its reverse (2201221201), we get a palindrome (104323323401).

The spelling of 102122102200 in words is "one hundred two billion, one hundred twenty-two million, one hundred two thousand, two hundred".