202200113 has 2 divisors, whose sum is σ = 202200114. Its totient is φ = 202200112.

The previous prime is 202200077. The next prime is 202200127. The reversal of 202200113 is 311002202.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163660849 + 38539264 = 12793^2 + 6208^2 .

It is a cyclic number.

It is not a de Polignac number, because 202200113 - 2¹⁰ = 202199089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202200094 and 202200103.

It is not a weakly prime, because it can be changed into another prime (202200133) 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, 101100056 + 101100057.

It is an arithmetic number, because the mean of its divisors is an integer number (101100057).

Almost surely, 2^202200113 is an apocalyptic number.

It is an amenable number.

202200113 is a deficient number, since it is larger than the sum of its proper divisors (1).

202200113 is an equidigital number, since it uses as much as digits as its factorization.

202200113 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 11.

The square root of 202200113 is about 14219.7086116418. The cubic root of 202200113 is about 586.9401219943.

Adding to 202200113 its reverse (311002202), we get a palindrome (513202315).

The spelling of 202200113 in words is "two hundred two million, two hundred thousand, one hundred thirteen".