12201202002001 has 2 divisors, whose sum is σ = 12201202002002. Its totient is φ = 12201202002000.

The previous prime is 12201202001987. The next prime is 12201202002013. The reversal of 12201202002001 is 10020020210221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12057561760000 + 143640242001 = 3472400^2 + 378999^2 .

It is a cyclic number.

It is not a de Polignac number, because 12201202002001 - 2²⁵ = 12201168447569 is a prime.

It is not a weakly prime, because it can be changed into another prime (12201202002601) 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, 6100601001000 + 6100601001001.

It is an arithmetic number, because the mean of its divisors is an integer number (6100601001001).

Almost surely, 2^{12201202002001} is an apocalyptic number.

It is an amenable number.

12201202002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12201202002001 is an equidigital number, since it uses as much as digits as its factorization.

12201202002001 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 13.

Adding to 12201202002001 its reverse (10020020210221), we get a palindrome (22221222212222).

The spelling of 12201202002001 in words is "twelve trillion, two hundred one billion, two hundred two million, two thousand, one".