22100210320000 has 320 divisors, whose sum is σ = 56507116465800. Its totient is φ = 8601804800000.

The previous prime is 22100210319983. The next prime is 22100210320003. The reversal of 22100210320000 is 2301200122.

It can be written as a sum of positive squares in 20 ways, for example, as 19385281848384 + 2714928471616 = 4402872^2 + 1647704^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (22100210320003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1275911340 + ... + 1275928660.

Almost surely, 2^{22100210320000} is an apocalyptic number.

22100210320000 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 22100210320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28253558232900).

22100210320000 is an abundant number, since it is smaller than the sum of its proper divisors (34406906145800).

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

22100210320000 is an equidigital number, since it uses as much as digits as its factorization.

22100210320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17785 (or 17758 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 22100210320000 its reverse (2301200122), we get a palindrome (22102511520122).

The spelling of 22100210320000 in words is "twenty-two trillion, one hundred billion, two hundred ten million, three hundred twenty thousand".