10221002221000 has 64 divisors (see below), whose sum is σ = 23925594167280. Its totient is φ = 4086956620800.

The previous prime is 10221002220973. The next prime is 10221002221109. The reversal of 10221002221000 is 12220012201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 145037582244 + 10075964638756 = 380838^2 + 3174266^2 .

It is a super-3 number, since 3×10221002221000³ (a number of 40 digits) contains 333 as substring.

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, 1029082 + ... + 4636918.

Almost surely, 2^{10221002221000} is an apocalyptic number.

10221002221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221002221000 is an abundant number, since it is smaller than the sum of its proper divisors (13704591946280).

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

10221002221000 is a wasteful number, since it uses less digits than its factorization.

10221002221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610691 (or 3610677 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10221002221000 its reverse (12220012201), we get a palindrome (10233222233201).

The spelling of 10221002221000 in words is "ten trillion, two hundred twenty-one billion, two million, two hundred twenty-one thousand".