200201221102081 has 2 divisors, whose sum is σ = 200201221102082. Its totient is φ = 200201221102080.

The previous prime is 200201221102019. The next prime is 200201221102133. The reversal of 200201221102081 is 180201122102002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171599100973056 + 28602120129025 = 13099584^2 + 5348095^2 .

It is a cyclic number.

It is not a de Polignac number, because 200201221102081 - 2¹³ = 200201221093889 is a prime.

It is a super-2 number, since 2×200201221102081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (200201221102381) 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, 100100610551040 + 100100610551041.

It is an arithmetic number, because the mean of its divisors is an integer number (100100610551041).

Almost surely, 2^{200201221102081} is an apocalyptic number.

It is an amenable number.

200201221102081 is a deficient number, since it is larger than the sum of its proper divisors (1).

200201221102081 is an equidigital number, since it uses as much as digits as its factorization.

200201221102081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 200201221102081 its reverse (180201122102002), we get a palindrome (380402343204083).

The spelling of 200201221102081 in words is "two hundred trillion, two hundred one billion, two hundred twenty-one million, one hundred two thousand, eighty-one".