221313111100 has 72 divisors (see below), whose sum is σ = 510336242640. Its totient is φ = 83016913920.

The previous prime is 221313111079. The next prime is 221313111133. The reversal of 221313111100 is 1111313122.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235911 + ... + 705889.

It is an arithmetic number, because the mean of its divisors is an integer number (7088003370).

Almost surely, 2^221313111100 is an apocalyptic number.

221313111100 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 221313111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255168121320).

221313111100 is an abundant number, since it is smaller than the sum of its proper divisors (289023131540).

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

221313111100 is a wasteful number, since it uses less digits than its factorization.

221313111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470287 (or 470280 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 221313111100 its reverse (1111313122), we get a palindrome (222424424222).

The spelling of 221313111100 in words is "two hundred twenty-one billion, three hundred thirteen million, one hundred eleven thousand, one hundred".