2122333121100 has 144 divisors (see below), whose sum is σ = 6168605184000. Its totient is φ = 563377758720.

The previous prime is 2122333121017. The next prime is 2122333121101. The reversal of 2122333121100 is 11213332212.

It is not an unprimeable number, because it can be changed into a prime (2122333121101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333330117 + ... + 333336483.

It is an arithmetic number, because the mean of its divisors is an integer number (42837536000).

Almost surely, 2^{2122333121100} is an apocalyptic number.

2122333121100 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 2122333121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084302592000).

2122333121100 is an abundant number, since it is smaller than the sum of its proper divisors (4046272062900).

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

2122333121100 is a wasteful number, since it uses less digits than its factorization.

2122333121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11272 (or 11265 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2122333121100 its reverse (11213332212), we get a palindrome (2133546453312).

It can be divided in two parts, 212233 and 3121100, that added together give a palindrome (3333333).

The spelling of 2122333121100 in words is "two trillion, one hundred twenty-two billion, three hundred thirty-three million, one hundred twenty-one thousand, one hundred".