201122112005201 has 2 divisors, whose sum is σ = 201122112005202. Its totient is φ = 201122112005200.

The previous prime is 201122112005117. The next prime is 201122112005219. The reversal of 201122112005201 is 102500211221102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195608895300625 + 5513216704576 = 13986025^2 + 2348024^2 .

It is a cyclic number.

It is not a de Polignac number, because 201122112005201 - 2¹⁸ = 201122111743057 is a prime.

It is not a weakly prime, because it can be changed into another prime (201122112005231) 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, 100561056002600 + 100561056002601.

It is an arithmetic number, because the mean of its divisors is an integer number (100561056002601).

Almost surely, 2^{201122112005201} is an apocalyptic number.

It is an amenable number.

201122112005201 is a deficient number, since it is larger than the sum of its proper divisors (1).

201122112005201 is an equidigital number, since it uses as much as digits as its factorization.

201122112005201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 160, while the sum is 20.

Adding to 201122112005201 its reverse (102500211221102), we get a palindrome (303622323226303).

The spelling of 201122112005201 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred twelve million, five thousand, two hundred one".