2201321312200 has 96 divisors (see below), whose sum is σ = 5285442413160. Its totient is φ = 851996620800.

The previous prime is 2201321312173. The next prime is 2201321312251. The reversal of 2201321312200 is 22131231022.

It can be written as a sum of positive squares in 12 ways, for example, as 37015451236 + 2164305860964 = 192394^2 + 1471158^2 .

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, 517644 + ... + 2161156.

Almost surely, 2^{2201321312200} is an apocalyptic number.

2201321312200 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 2201321312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642721206580).

2201321312200 is an abundant number, since it is smaller than the sum of its proper divisors (3084121100960).

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

2201321312200 is a wasteful number, since it uses less digits than its factorization.

2201321312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643747 (or 1643738 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2201321312200 its reverse (22131231022), we get a palindrome (2223452543222).

The spelling of 2201321312200 in words is "two trillion, two hundred one billion, three hundred twenty-one million, three hundred twelve thousand, two hundred".