22221001010000 has 400 divisors, whose sum is σ = 59206383205200. Its totient is φ = 8025937920000.

The previous prime is 22221001009997. The next prime is 22221001010167. The reversal of 22221001010000 is 1010012222.

It is a happy number.

It can be written as a sum of positive squares in 40 ways, for example, as 22009496679184 + 211504330816 = 4691428^2 + 459896^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2404605380 + ... + 2404614620.

It is an arithmetic number, because the mean of its divisors is an integer number (148015958013).

Almost surely, 2^{22221001010000} is an apocalyptic number.

22221001010000 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 22221001010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29603191602600).

22221001010000 is an abundant number, since it is smaller than the sum of its proper divisors (36985382195200).

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

22221001010000 is a wasteful number, since it uses less digits than its factorization.

22221001010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9684 (or 9663 counting only the distinct ones).

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

Adding to 22221001010000 its reverse (1010012222), we get a palindrome (22222011022222).

The spelling of 22221001010000 in words is "twenty-two trillion, two hundred twenty-one billion, one million, ten thousand".