221791320200 has 36 divisors (see below), whose sum is σ = 515680304895. Its totient is φ = 88713864000.

The previous prime is 221791320151. The next prime is 221791320209. The reversal of 221791320200 is 2023197122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

221791320200 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 5 ways, for example, as 117809578756 + 103981741444 = 343234^2 + 322462^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=333010.

It is not an unprimeable number, because it can be changed into a prime (221791320209) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 6643550 + ... + 6676850.

Almost surely, 2^221791320200 is an apocalyptic number.

221791320200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221791320200 is an abundant number, since it is smaller than the sum of its proper divisors (293888984695).

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

221791320200 is an frugal number, since it uses more digits than its factorization.

221791320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66618 (or 33308 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The spelling of 221791320200 in words is "two hundred twenty-one billion, seven hundred ninety-one million, three hundred twenty thousand, two hundred".