200201202201137 has 2 divisors, whose sum is σ = 200201202201138. Its totient is φ = 200201202201136.

The previous prime is 200201202201097. The next prime is 200201202201139. The reversal of 200201202201137 is 731102202102002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198211454980081 + 1989747221056 = 14078759^2 + 1410584^2 .

It is a cyclic number.

It is not a de Polignac number, because 200201202201137 - 2⁶ = 200201202201073 is a prime.

Together with 200201202201139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (200201202201139) 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, 100100601100568 + 100100601100569.

It is an arithmetic number, because the mean of its divisors is an integer number (100100601100569).

Almost surely, 2^{200201202201137} is an apocalyptic number.

It is an amenable number.

200201202201137 is a deficient number, since it is larger than the sum of its proper divisors (1).

200201202201137 is an equidigital number, since it uses as much as digits as its factorization.

200201202201137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 23.

Adding to 200201202201137 its reverse (731102202102002), we get a palindrome (931303404303139).

The spelling of 200201202201137 in words is "two hundred trillion, two hundred one billion, two hundred two million, two hundred one thousand, one hundred thirty-seven".