221200200113 has 8 divisors (see below), whose sum is σ = 221649016680. Its totient is φ = 220751814400.

The previous prime is 221200200101. The next prime is 221200200127. The reversal of 221200200113 is 311002002122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8525198224 + 212675001889 = 92332^2 + 461167^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 221200200113 - 2²⁸ = 220931764657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221200200913) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 930233 + ... + 1143561.

It is an arithmetic number, because the mean of its divisors is an integer number (27706127085).

Almost surely, 2^221200200113 is an apocalyptic number.

It is an amenable number.

221200200113 is a deficient number, since it is larger than the sum of its proper divisors (448816567).

221200200113 is a wasteful number, since it uses less digits than its factorization.

221200200113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215427.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 221200200113 its reverse (311002002122), we get a palindrome (532202202235).

The spelling of 221200200113 in words is "two hundred twenty-one billion, two hundred million, two hundred thousand, one hundred thirteen".