200200222122113 has 2 divisors, whose sum is σ = 200200222122114. Its totient is φ = 200200222122112.

The previous prime is 200200222122101. The next prime is 200200222122139. The reversal of 200200222122113 is 311221222002002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 193482758596864 + 6717463525249 = 13909808^2 + 2591807^2 .

It is a cyclic number.

It is not a de Polignac number, because 200200222122113 - 2³⁴ = 200183042252929 is a prime.

It is not a weakly prime, because it can be changed into another prime (200200222112113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100100111061056 + 100100111061057.

It is an arithmetic number, because the mean of its divisors is an integer number (100100111061057).

Almost surely, 2^{200200222122113} is an apocalyptic number.

It is an amenable number.

200200222122113 is a deficient number, since it is larger than the sum of its proper divisors (1).

200200222122113 is an equidigital number, since it uses as much as digits as its factorization.

200200222122113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 200200222122113 its reverse (311221222002002), we get a palindrome (511421444124115).

The spelling of 200200222122113 in words is "two hundred trillion, two hundred billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred thirteen".