221311010013200 has 120 divisors (see below), whose sum is σ = 535252937367240. Its totient is φ = 87933165465600.

The previous prime is 221311010013187. The next prime is 221311010013257. The reversal of 221311010013200 is 2310010113122.

It can be written as a sum of positive squares in 12 ways, for example, as 78881965928704 + 142429044084496 = 8881552^2 + 11934364^2 .

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, 201731756 + ... + 202825844.

It is an arithmetic number, because the mean of its divisors is an integer number (4460441144727).

Almost surely, 2^{221311010013200} is an apocalyptic number.

221311010013200 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 221311010013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267626468683620).

221311010013200 is an abundant number, since it is smaller than the sum of its proper divisors (313941927354040).

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

221311010013200 is a wasteful number, since it uses less digits than its factorization.

221311010013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097485 (or 1097474 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 221311010013200 its reverse (2310010113122), we get a palindrome (223621020126322).

The spelling of 221311010013200 in words is "two hundred twenty-one trillion, three hundred eleven billion, ten million, thirteen thousand, two hundred".