221113100 has 72 divisors (see below), whose sum is σ = 523508160. Its totient is φ = 80570880.

The previous prime is 221113091. The next prime is 221113121. The reversal of 221113100 is 1311122.

It is a super-2 number, since 2×221113100² = 97782005983220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101624 + ... + 103776.

Almost surely, 2^221113100 is an apocalyptic number.

221113100 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 221113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261754080).

221113100 is an abundant number, since it is smaller than the sum of its proper divisors (302395060).

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

221113100 is a wasteful number, since it uses less digits than its factorization.

221113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 221113100 is about 14869.8722254093. The cubic root of 221113100 is about 604.6974786972.

Adding to 221113100 its reverse (1311122), we get a palindrome (222424222).

The spelling of 221113100 in words is "two hundred twenty-one million, one hundred thirteen thousand, one hundred".