221021120 has 56 divisors (see below), whose sum is σ = 530199600. Its totient is φ = 87754752.

The previous prime is 221021111. The next prime is 221021137. The reversal of 221021120 is 21120122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41996 + ... + 46964.

It is an arithmetic number, because the mean of its divisors is an integer number (9467850).

Almost surely, 2^221021120 is an apocalyptic number.

221021120 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 221021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265099800).

221021120 is an abundant number, since it is smaller than the sum of its proper divisors (309178480).

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

221021120 is a wasteful number, since it uses less digits than its factorization.

221021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5125 (or 5115 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 221021120 is about 14866.7790728187. The cubic root of 221021120 is about 604.6136184642.

Adding to 221021120 its reverse (21120122), we get a palindrome (242141242).

The spelling of 221021120 in words is "two hundred twenty-one million, twenty-one thousand, one hundred twenty".