12122102112100 has 72 divisors (see below), whose sum is σ = 26341935758208. Its totient is φ = 4842028329600.

The previous prime is 12122102112053. The next prime is 12122102112121. The reversal of 12122102112100 is 121120122121.

12122102112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374550519 + ... + 374582881.

It is an arithmetic number, because the mean of its divisors is an integer number (365860218864).

Almost surely, 2^{12122102112100} is an apocalyptic number.

12122102112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122102112100 is an abundant number, since it is smaller than the sum of its proper divisors (14219833646108).

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

12122102112100 is a wasteful number, since it uses less digits than its factorization.

12122102112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37525 (or 37518 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12122102112100 its reverse (121120122121), we get a palindrome (12243222234221).

The spelling of 12122102112100 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, one hundred twelve thousand, one hundred".