122311145200201 has 2 divisors, whose sum is σ = 122311145200202. Its totient is φ = 122311145200200.

The previous prime is 122311145200093. The next prime is 122311145200259. The reversal of 122311145200201 is 102002541113221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83635122010176 + 38676023190025 = 9145224^2 + 6219005^2 .

It is a cyclic number.

It is not a de Polignac number, because 122311145200201 - 2¹¹ = 122311145198153 is a prime.

It is not a weakly prime, because it can be changed into another prime (122311145200301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61155572600100 + 61155572600101.

It is an arithmetic number, because the mean of its divisors is an integer number (61155572600101).

Almost surely, 2^{122311145200201} is an apocalyptic number.

It is an amenable number.

122311145200201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122311145200201 is an equidigital number, since it uses as much as digits as its factorization.

122311145200201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 122311145200201 its reverse (102002541113221), we get a palindrome (224313686313422).

The spelling of 122311145200201 in words is "one hundred twenty-two trillion, three hundred eleven billion, one hundred forty-five million, two hundred thousand, two hundred one".