22100020000000 has 288 divisors, whose sum is σ = 55901061189792. Its totient is φ = 8718336000000.

The previous prime is 22100019999961. The next prime is 22100020000001. The reversal of 22100020000000 is 2000122.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 10673132184576 + 11426887815424 = 3266976^2 + 3380368^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100020000001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1459992432 + ... + 1460007568.

It is an arithmetic number, because the mean of its divisors is an integer number (194100906909).

Almost surely, 2^{22100020000000} is an apocalyptic number.

22100020000000 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 22100020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27950530594896).

22100020000000 is an abundant number, since it is smaller than the sum of its proper divisors (33801041189792).

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

22100020000000 is an frugal number, since it uses more digits than its factorization.

22100020000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15261 (or 15217 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 22100020000000 its reverse (2000122), we get a palindrome (22100022000122).

The spelling of 22100020000000 in words is "twenty-two trillion, one hundred billion, twenty million", and thus it is an aban number.