22102120000000 has 160 divisors (see below), whose sum is σ = 55201298332752. Its totient is φ = 8840832000000.

The previous prime is 22102119999989. The next prime is 22102120000031. The reversal of 22102120000000 is 2120122.

It can be written as a sum of positive squares in 8 ways, for example, as 21389811007744 + 712308992256 = 4624912^2 + 843984^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39723724 + ... + 40276276.

Almost surely, 2^{22102120000000} is an apocalyptic number.

22102120000000 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 22102120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27600649166376).

22102120000000 is an abundant number, since it is smaller than the sum of its proper divisors (33099178332752).

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

22102120000000 is an frugal number, since it uses more digits than its factorization.

22102120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552606 (or 552560 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22102120000000 its reverse (2120122), we get a palindrome (22102122120122).

The spelling of 22102120000000 in words is "twenty-two trillion, one hundred two billion, one hundred twenty million", and thus it is an aban number.