221021100000 has 432 divisors, whose sum is σ = 789644615760. Its totient is φ = 58636800000.

The previous prime is 221021099951. The next prime is 221021100011. The reversal of 221021100000 is 1120122.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 216899491 + ... + 216900509.

It is an arithmetic number, because the mean of its divisors is an integer number (1827881055).

Almost surely, 2^221021100000 is an apocalyptic number.

221021100000 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 221021100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394822307880).

221021100000 is an abundant number, since it is smaller than the sum of its proper divisors (568623515760).

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

221021100000 is a wasteful number, since it uses less digits than its factorization.

221021100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 221021100000 its reverse (1120122), we get a palindrome (221022220122).

The spelling of 221021100000 in words is "two hundred twenty-one billion, twenty-one million, one hundred thousand".