21222202221000 has 1152 divisors, whose sum is σ = 81425198181600. Its totient is φ = 4977967104000.

The previous prime is 21222202220987. The next prime is 21222202221001. The reversal of 21222202221000 is 12220222212.

21222202221000 is a `hidden beast` number, since 2 + 122 + 220 + 222 + 100 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 651859234884 + 20570342986116 = 807378^2 + 4535454^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21222202221001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7776547636 + ... + 7776550364.

Almost surely, 2^{21222202221000} is an apocalyptic number.

21222202221000 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 21222202221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40712599090800).

21222202221000 is an abundant number, since it is smaller than the sum of its proper divisors (60202995960600).

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

21222202221000 is a wasteful number, since it uses less digits than its factorization.

21222202221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21222202221000 its reverse (12220222212), we get a palindrome (21234422443212).

The spelling of 21222202221000 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred two million, two hundred twenty-one thousand".