12002002122001 has 2 divisors, whose sum is σ = 12002002122002. Its totient is φ = 12002002122000.

The previous prime is 12002002121981. The next prime is 12002002122013. The reversal of 12002002122001 is 10022120020021.

It is a happy number.

12002002122001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11930641013776 + 71361108225 = 3454076^2 + 267135^2 .

It is a cyclic number.

It is not a de Polignac number, because 12002002122001 - 2⁵ = 12002002121969 is a prime.

It is not a weakly prime, because it can be changed into another prime (12002002162001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001001061000 + 6001001061001.

It is an arithmetic number, because the mean of its divisors is an integer number (6001001061001).

Almost surely, 2^{12002002122001} is an apocalyptic number.

It is an amenable number.

12002002122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002002122001 is an equidigital number, since it uses as much as digits as its factorization.

12002002122001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12002002122001 its reverse (10022120020021), we get a palindrome (22024122142022).

The spelling of 12002002122001 in words is "twelve trillion, two billion, two million, one hundred twenty-two thousand, one".