22100002101200 has 240 divisors, whose sum is σ = 57209473359360. Its totient is φ = 8173531791360.

The previous prime is 22100002101167. The next prime is 22100002101223. The reversal of 22100002101200 is 210120000122.

It is a happy number.

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, 628662824 + ... + 628697976.

It is an arithmetic number, because the mean of its divisors is an integer number (238372805664).

Almost surely, 2^{22100002101200} is an apocalyptic number.

22100002101200 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 22100002101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28604736679680).

22100002101200 is an abundant number, since it is smaller than the sum of its proper divisors (35109471258160).

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

22100002101200 is a wasteful number, since it uses less digits than its factorization.

22100002101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36814 (or 36803 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22100002101200 its reverse (210120000122), we get a palindrome (22310122101322).

The spelling of 22100002101200 in words is "twenty-two trillion, one hundred billion, two million, one hundred one thousand, two hundred".