221210220200 has 96 divisors (see below), whose sum is σ = 533445779160. Its totient is φ = 85239936000.

The previous prime is 221210220193. The next prime is 221210220229. The reversal of 221210220200 is 2022012122.

It can be written as a sum of positive squares in 12 ways, for example, as 171622947076 + 49587273124 = 414274^2 + 222682^2 .

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, 599414 + ... + 895386.

Almost surely, 2^221210220200 is an apocalyptic number.

221210220200 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 221210220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266722889580).

221210220200 is an abundant number, since it is smaller than the sum of its proper divisors (312235558960).

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

221210220200 is a wasteful number, since it uses less digits than its factorization.

221210220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296127 (or 296118 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 221210220200 its reverse (2022012122), we get a palindrome (223232232322).

The spelling of 221210220200 in words is "two hundred twenty-one billion, two hundred ten million, two hundred twenty thousand, two hundred".