221332010200 has 144 divisors (see below), whose sum is σ = 599106721680. Its totient is φ = 75822647040.

The previous prime is 221332010161. The next prime is 221332010201. The reversal of 221332010200 is 2010233122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221332010201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12760734 + ... + 12778066.

It is an arithmetic number, because the mean of its divisors is an integer number (4160463345).

Almost surely, 2^221332010200 is an apocalyptic number.

221332010200 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 221332010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299553360840).

221332010200 is an abundant number, since it is smaller than the sum of its proper divisors (377774711480).

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

221332010200 is a wasteful number, since it uses less digits than its factorization.

221332010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18666 (or 18650 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 221332010200 its reverse (2010233122), we get a palindrome (223342243322).

The spelling of 221332010200 in words is "two hundred twenty-one billion, three hundred thirty-two million, ten thousand, two hundred".