122102221110100 has 288 divisors, whose sum is σ = 335043047872512. Its totient is φ = 37516395840000.

The previous prime is 122102221110059. The next prime is 122102221110161. The reversal of 122102221110100 is 1011122201221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5516738634 + ... + 5516760766.

It is an arithmetic number, because the mean of its divisors is an integer number (1163343916224).

Almost surely, 2^{122102221110100} is an apocalyptic number.

122102221110100 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 122102221110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167521523936256).

122102221110100 is an abundant number, since it is smaller than the sum of its proper divisors (212940826762412).

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

122102221110100 is a wasteful number, since it uses less digits than its factorization.

122102221110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32327 (or 32320 counting only the distinct ones).

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

Adding to 122102221110100 its reverse (1011122201221), we get a palindrome (123113343311321).

The spelling of 122102221110100 in words is "one hundred twenty-two trillion, one hundred two billion, two hundred twenty-one million, one hundred ten thousand, one hundred".