22100220202112 has 128 divisors (see below), whose sum is σ = 48186314104320. Its totient is φ = 10034693222400.

The previous prime is 22100220202111. The next prime is 22100220202121. The reversal of 22100220202112 is 21120202200122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (22100220202111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54498662 + ... + 54902682.

It is an arithmetic number, because the mean of its divisors is an integer number (376455578940).

Almost surely, 2^{22100220202112} 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 22100220202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24093157052160).

22100220202112 is an abundant number, since it is smaller than the sum of its proper divisors (26086093902208).

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

22100220202112 is a wasteful number, since it uses less digits than its factorization.

22100220202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404582 (or 404570 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22100220202112 its reverse (21120202200122), we get a palindrome (43220422402234).

The spelling of 22100220202112 in words is "twenty-two trillion, one hundred billion, two hundred twenty million, two hundred two thousand, one hundred twelve".