122102101100 has 72 divisors (see below), whose sum is σ = 302860303200. Its totient is φ = 41857067520.

The previous prime is 122102101057. The next prime is 122102101127. The reversal of 122102101100 is 1101201221.

122102101100 is digitally balanced in base 3, 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, 7325576 + ... + 7342224.

It is an arithmetic number, because the mean of its divisors is an integer number (4206393100).

Almost surely, 2^122102101100 is an apocalyptic number.

122102101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122102101100 is an abundant number, since it is smaller than the sum of its proper divisors (180758202100).

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

122102101100 is a wasteful number, since it uses less digits than its factorization.

122102101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27147 (or 27140 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 122102101100 its reverse (1101201221), we get a palindrome (123203302321).

The spelling of 122102101100 in words is "one hundred twenty-two billion, one hundred two million, one hundred one thousand, one hundred".