221000221100 has 72 divisors (see below), whose sum is σ = 483757266720. Its totient is φ = 87630174720.

The previous prime is 221000221069. The next prime is 221000221103. The reversal of 221000221100 is 1122000122.

It is a happy number.

221000221100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (221000221103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9948806 + ... + 9970994.

Almost surely, 2^221000221100 is an apocalyptic number.

221000221100 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 221000221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241878633360).

221000221100 is an abundant number, since it is smaller than the sum of its proper divisors (262757045620).

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

221000221100 is a wasteful number, since it uses less digits than its factorization.

221000221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23067 (or 23060 counting only the distinct ones).

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

Adding to 221000221100 its reverse (1122000122), we get a palindrome (222122221222).

The spelling of 221000221100 in words is "two hundred twenty-one billion, two hundred twenty-one thousand, one hundred".