23122211330100 has 144 divisors (see below), whose sum is σ = 67128109776000. Its totient is φ = 6144944785920.

The previous prime is 23122211330051. The next prime is 23122211330171. The reversal of 23122211330100 is 103311222132.

It is a super-2 number, since 2×23122211330100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176239326 + ... + 176370474.

It is an arithmetic number, because the mean of its divisors is an integer number (466167429000).

Almost surely, 2^{23122211330100} is an apocalyptic number.

23122211330100 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 23122211330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33564054888000).

23122211330100 is an abundant number, since it is smaller than the sum of its proper divisors (44005898445900).

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

23122211330100 is a wasteful number, since it uses less digits than its factorization.

23122211330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133162 (or 133155 counting only the distinct ones).

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

Adding to 23122211330100 its reverse (103311222132), we get a palindrome (23225522552232).

The spelling of 23122211330100 in words is "twenty-three trillion, one hundred twenty-two billion, two hundred eleven million, three hundred thirty thousand, one hundred".