22121101100 has 72 divisors (see below), whose sum is σ = 54905319168. Its totient is φ = 7578158400.

The previous prime is 22121101039. The next prime is 22121101111. The reversal of 22121101100 is 110112122.

It is a super-2 number, since 2×22121101100² (a number of 21 digits) contains 22 as substring.

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, 885785 + ... + 910415.

Almost surely, 2^22121101100 is an apocalyptic number.

22121101100 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 22121101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27452659584).

22121101100 is an abundant number, since it is smaller than the sum of its proper divisors (32784218068).

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

22121101100 is a wasteful number, since it uses less digits than its factorization.

22121101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25935 (or 25928 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 22121101100 its reverse (110112122), we get a palindrome (22231213222).

The spelling of 22121101100 in words is "twenty-two billion, one hundred twenty-one million, one hundred one thousand, one hundred".