221021122010000 has 400 divisors, whose sum is σ = 581556922401840. Its totient is φ = 81344540160000.

The previous prime is 221021122009999. The next prime is 221021122010023. The reversal of 221021122010000 is 10221120122.

It can be written as a sum of positive squares in 40 ways, for example, as 18384302686864 + 202636819323136 = 4287692^2 + 14235056^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6876593930 + ... + 6876626070.

Almost surely, 2^{221021122010000} is an apocalyptic number.

221021122010000 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 221021122010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290778461200920).

221021122010000 is an abundant number, since it is smaller than the sum of its proper divisors (360535800391840).

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

221021122010000 is an equidigital number, since it uses as much as digits as its factorization.

221021122010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32521 (or 32474 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221021122010000 its reverse (10221120122), we get a palindrome (221031343130122).

The spelling of 221021122010000 in words is "two hundred twenty-one trillion, twenty-one billion, one hundred twenty-two million, ten thousand".