22102112000000 has 336 divisors, whose sum is σ = 55649697831000. Its totient is φ = 8775475200000.

The previous prime is 22102111999997. The next prime is 22102112000011. The reversal of 22102112000000 is 21120122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 4447997516 + ... + 4448002484.

Almost surely, 2^{22102112000000} is an apocalyptic number.

22102112000000 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 22102112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27824848915500).

22102112000000 is an abundant number, since it is smaller than the sum of its proper divisors (33547585831000).

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

22102112000000 is an frugal number, since it uses more digits than its factorization.

22102112000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5160 (or 5115 counting only the distinct ones).

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

Adding to 22102112000000 its reverse (21120122), we get a palindrome (22102133120122).

The spelling of 22102112000000 in words is "twenty-two trillion, one hundred two billion, one hundred twelve million", and thus it is an aban number.