221000221020000 has 480 divisors, whose sum is σ = 767074801489920. Its totient is φ = 55539267840000.

The previous prime is 221000221019993. The next prime is 221000221020001. The reversal of 221000221020000 is 20122000122.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221000221020001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 217232514 + ... + 218247486.

It is an arithmetic number, because the mean of its divisors is an integer number (1598072503104).

Almost surely, 2^{221000221020000} is an apocalyptic number.

221000221020000 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 221000221020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383537400744960).

221000221020000 is an abundant number, since it is smaller than the sum of its proper divisors (546074580469920).

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

221000221020000 is a wasteful number, since it uses less digits than its factorization.

221000221020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015216 (or 1015193 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 221000221020000 its reverse (20122000122), we get a palindrome (221020343020122).

The spelling of 221000221020000 in words is "two hundred twenty-one trillion, two hundred twenty-one million, twenty thousand".