120122121200201 has 2 divisors, whose sum is σ = 120122121200202. Its totient is φ = 120122121200200.

The previous prime is 120122121200189. The next prime is 120122121200209. The reversal of 120122121200201 is 102002121221021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119891024674576 + 231096525625 = 10949476^2 + 480725^2 .

It is a cyclic number.

It is not a de Polignac number, because 120122121200201 - 2¹⁰ = 120122121199177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 120122121200201.

It is not a weakly prime, because it can be changed into another prime (120122121200209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60061060600100 + 60061060600101.

It is an arithmetic number, because the mean of its divisors is an integer number (60061060600101).

Almost surely, 2^{120122121200201} is an apocalyptic number.

It is an amenable number.

120122121200201 is a deficient number, since it is larger than the sum of its proper divisors (1).

120122121200201 is an equidigital number, since it uses as much as digits as its factorization.

120122121200201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 120122121200201 its reverse (102002121221021), we get a palindrome (222124242421222).

The spelling of 120122121200201 in words is "one hundred twenty trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred thousand, two hundred one".