10221000221000 has 64 divisors (see below), whose sum is σ = 23929647421680. Its totient is φ = 4086262156800.

The previous prime is 10221000220987. The next prime is 10221000221051. The reversal of 10221000221000 is 12200012201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4367707088836 + 5853293132164 = 2089906^2 + 2419358^2 .

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, 758459 + ... + 4584458.

Almost surely, 2^{10221000221000} is an apocalyptic number.

10221000221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221000221000 is an abundant number, since it is smaller than the sum of its proper divisors (13708647200680).

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

10221000221000 is a wasteful number, since it uses less digits than its factorization.

10221000221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5344851 (or 5344837 counting only the distinct ones).

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

Adding to 10221000221000 its reverse (12200012201), we get a palindrome (10233200233201).

The spelling of 10221000221000 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-one thousand".