102120102200 has 48 divisors (see below), whose sum is σ = 243220214160. Its totient is φ = 39851744000.

The previous prime is 102120102187. The next prime is 102120102283. The reversal of 102120102200 is 2201021201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6218636 + ... + 6235035.

It is an arithmetic number, because the mean of its divisors is an integer number (5067087795).

Almost surely, 2^102120102200 is an apocalyptic number.

102120102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120102200 is an abundant number, since it is smaller than the sum of its proper divisors (141100111960).

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

102120102200 is a wasteful number, since it uses less digits than its factorization.

102120102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12453728 (or 12453719 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102120102200 its reverse (2201021201), we get a palindrome (104321123401).

The spelling of 102120102200 in words is "one hundred two billion, one hundred twenty million, one hundred two thousand, two hundred".