122100112012100 has 72 divisors (see below), whose sum is σ = 267544317942720. Its totient is φ = 48363216670080.

The previous prime is 122100112012097. The next prime is 122100112012111. The reversal of 122100112012100 is 1210211001221.

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, 193046171 + ... + 193677629.

It is an arithmetic number, because the mean of its divisors is an integer number (3715893304760).

Almost surely, 2^{122100112012100} is an apocalyptic number.

122100112012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122100112012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133772158971360).

122100112012100 is an abundant number, since it is smaller than the sum of its proper divisors (145444205930620).

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

122100112012100 is a wasteful number, since it uses less digits than its factorization.

122100112012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650349 (or 650342 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122100112012100 its reverse (1210211001221), we get a palindrome (123310323013321).

The spelling of 122100112012100 in words is "one hundred twenty-two trillion, one hundred billion, one hundred twelve million, twelve thousand, one hundred".