102200112021100 has 36 divisors (see below), whose sum is σ = 222052504542624. Its totient is φ = 40828752374080.

The previous prime is 102200112021023. The next prime is 102200112021143. The reversal of 102200112021100 is 1120211002201.

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 11 ways as a sum of consecutive naturals, for example, 641075332 + ... + 641234731.

It is an arithmetic number, because the mean of its divisors is an integer number (6168125126184).

Almost surely, 2^{102200112021100} is an apocalyptic number.

102200112021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200112021100 is an abundant number, since it is smaller than the sum of its proper divisors (119852392521524).

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

102200112021100 is a wasteful number, since it uses less digits than its factorization.

102200112021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282310874 (or 1282310867 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102200112021100 its reverse (1120211002201), we get a palindrome (103320323023301).

The spelling of 102200112021100 in words is "one hundred two trillion, two hundred billion, one hundred twelve million, twenty-one thousand, one hundred".