2122110022100 has 144 divisors (see below), whose sum is σ = 4904393598720. Its totient is φ = 794247168000.

The previous prime is 2122110022063. The next prime is 2122110022133. The reversal of 2122110022100 is 12200112212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296753525 + ... + 296760675.

It is an arithmetic number, because the mean of its divisors is an integer number (34058288880).

Almost surely, 2^{2122110022100} is an apocalyptic number.

2122110022100 is a gapful number since it is divisible by the number (20) 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 2122110022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452196799360).

2122110022100 is an abundant number, since it is smaller than the sum of its proper divisors (2782283576620).

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

2122110022100 is a wasteful number, since it uses less digits than its factorization.

2122110022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8178 (or 8171 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2122110022100 its reverse (12200112212), we get a palindrome (2134310134312).

The spelling of 2122110022100 in words is "two trillion, one hundred twenty-two billion, one hundred ten million, twenty-two thousand, one hundred".