221203021221000 has 768 divisors, whose sum is σ = 945075091484160. Its totient is φ = 45410011084800.

The previous prime is 221203021220989. The next prime is 221203021221047. The reversal of 221203021221000 is 122120302122.

221203021221000 is a `hidden beast` number, since 2 + 212 + 0 + 30 + 212 + 210 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26653147 + ... + 33952853.

It is an arithmetic number, because the mean of its divisors is an integer number (1230566525370).

Almost surely, 2^{221203021221000} is an apocalyptic number.

221203021221000 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 221203021221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472537545742080).

221203021221000 is an abundant number, since it is smaller than the sum of its proper divisors (723872070263160).

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

221203021221000 is a wasteful number, since it uses less digits than its factorization.

221203021221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7299791 (or 7299774 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 221203021221000 its reverse (122120302122), we get a palindrome (221325141523122).

The spelling of 221203021221000 in words is "two hundred twenty-one trillion, two hundred three billion, twenty-one million, two hundred twenty-one thousand".