12010122121201 has 2 divisors, whose sum is σ = 12010122121202. Its totient is φ = 12010122121200.

The previous prime is 12010122121159. The next prime is 12010122121213. The reversal of 12010122121201 is 10212122101021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11993338659600 + 16783461601 = 3463140^2 + 129551^2 .

It is an emirp because it is prime and its reverse (10212122101021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12010122121201 - 2³⁷ = 11872683167729 is a prime.

It is not a weakly prime, because it can be changed into another prime (12010122125201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6005061060600 + 6005061060601.

It is an arithmetic number, because the mean of its divisors is an integer number (6005061060601).

Almost surely, 2^{12010122121201} is an apocalyptic number.

It is an amenable number.

12010122121201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12010122121201 is an equidigital number, since it uses as much as digits as its factorization.

12010122121201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12010122121201 its reverse (10212122101021), we get a palindrome (22222244222222).

The spelling of 12010122121201 in words is "twelve trillion, ten billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred one".