221303201300 has 36 divisors (see below), whose sum is σ = 489288863196. Its totient is φ = 86851065600.

The previous prime is 221303201299. The next prime is 221303201323. The reversal of 221303201300 is 3102303122.

221303201300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 820364164 + 220482837136 = 28642^2 + 469556^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 20872361 + ... + 20882960.

It is an arithmetic number, because the mean of its divisors is an integer number (13591357311).

Almost surely, 2^221303201300 is an apocalyptic number.

221303201300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221303201300 is an abundant number, since it is smaller than the sum of its proper divisors (267985661896).

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

221303201300 is a wasteful number, since it uses less digits than its factorization.

221303201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41755388 (or 41755381 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 221303201300 its reverse (3102303122), we get a palindrome (224405504422).

The spelling of 221303201300 in words is "two hundred twenty-one billion, three hundred three million, two hundred one thousand, three hundred".