221033100 has 72 divisors (see below), whose sum is σ = 660179968. Its totient is φ = 57038400.

The previous prime is 221033083. The next prime is 221033119. The reversal of 221033100 is 1330122.

It is a happy number.

221033100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221033100² = 97711262591220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2584 + ... + 21183.

Almost surely, 2^221033100 is an apocalyptic number.

221033100 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 221033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330089984).

221033100 is an abundant number, since it is smaller than the sum of its proper divisors (439146868).

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

221033100 is a wasteful number, since it uses less digits than its factorization.

221033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23815 (or 23808 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 221033100 is about 14867.1819791109. The cubic root of 221033100 is about 604.6245422171.

Adding to 221033100 its reverse (1330122), we get a palindrome (222363222).

The spelling of 221033100 in words is "two hundred twenty-one million, thirty-three thousand, one hundred".