221102113 has 2 divisors, whose sum is σ = 221102114. Its totient is φ = 221102112.

The previous prime is 221102099. The next prime is 221102117. The reversal of 221102113 is 311201122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217503504 + 3598609 = 14748^2 + 1897^2 .

It is a cyclic number.

It is not a de Polignac number, because 221102113 - 2⁵ = 221102081 is a prime.

It is a super-2 number, since 2×221102113² = 97772288746129538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221102093 and 221102102.

It is not a weakly prime, because it can be changed into another prime (221102117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110551056 + 110551057.

It is an arithmetic number, because the mean of its divisors is an integer number (110551057).

Almost surely, 2^221102113 is an apocalyptic number.

It is an amenable number.

221102113 is a deficient number, since it is larger than the sum of its proper divisors (1).

221102113 is an equidigital number, since it uses as much as digits as its factorization.

221102113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 221102113 is about 14869.5027825412. The cubic root of 221102113 is about 604.6874628256.

Adding to 221102113 its reverse (311201122), we get a palindrome (532303235).

Subtracting 221102113 from its reverse (311201122), we obtain a palindrome (90099009).

The spelling of 221102113 in words is "two hundred twenty-one million, one hundred two thousand, one hundred thirteen".