22100221022112 has 288 divisors, whose sum is σ = 66395620601856. Its totient is φ = 6963193036800.

The previous prime is 22100221022093. The next prime is 22100221022137. The reversal of 22100221022112 is 21122012200122.

It is a happy number.

22100221022112 is a `hidden beast` number, since 2 + 210 + 0 + 221 + 0 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 105415312 + ... + 105624752.

It is an arithmetic number, because the mean of its divisors is an integer number (230540349312).

Almost surely, 2^{22100221022112} 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 22100221022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33197810300928).

22100221022112 is an abundant number, since it is smaller than the sum of its proper divisors (44295399579744).

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

22100221022112 is a wasteful number, since it uses less digits than its factorization.

22100221022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209764 (or 209753 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22100221022112 its reverse (21122012200122), we get a palindrome (43222233222234).

The spelling of 22100221022112 in words is "twenty-two trillion, one hundred billion, two hundred twenty-one million, twenty-two thousand, one hundred twelve".