22101002112 has 256 divisors, whose sum is σ = 70956748800. Its totient is φ = 5960908800.

The previous prime is 22101002111. The next prime is 22101002177. The reversal of 22101002112 is 21120010122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101002111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3413214 + ... + 3419682.

It is an arithmetic number, because the mean of its divisors is an integer number (277174800).

Almost surely, 2^22101002112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22101002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35478374400).

22101002112 is an abundant number, since it is smaller than the sum of its proper divisors (48855746688).

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

22101002112 is a wasteful number, since it uses less digits than its factorization.

22101002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6565 (or 6553 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22101002112 its reverse (21120010122), we get a palindrome (43221012234).

The spelling of 22101002112 in words is "twenty-two billion, one hundred one million, two thousand, one hundred twelve".