10221021220000 has 120 divisors (see below), whose sum is σ = 25226113584672. Its totient is φ = 4075260000000.

The previous prime is 10221021219979. The next prime is 10221021220061. The reversal of 10221021220000 is 2212012201.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5398375 + ... + 7041625.

Almost surely, 2^{10221021220000} is an apocalyptic number.

10221021220000 is a gapful number since it is divisible by the number (10) 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 10221021220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12613056792336).

10221021220000 is an abundant number, since it is smaller than the sum of its proper divisors (15005092364672).

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

10221021220000 is an equidigital number, since it uses as much as digits as its factorization.

10221021220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643592 (or 1643569 counting only the distinct ones).

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

Adding to 10221021220000 its reverse (2212012201), we get a palindrome (10223233232201).

The spelling of 10221021220000 in words is "ten trillion, two hundred twenty-one billion, twenty-one million, two hundred twenty thousand".