12002202122201 has 2 divisors, whose sum is σ = 12002202122202. Its totient is φ = 12002202122200.

The previous prime is 12002202122161. The next prime is 12002202122219. The reversal of 12002202122201 is 10222120220021.

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., 11937266851225 + 64935270976 = 3455035^2 + 254824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12002202122201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12002202122201.

It is not a weakly prime, because it can be changed into another prime (12002202122221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001101061100 + 6001101061101.

It is an arithmetic number, because the mean of its divisors is an integer number (6001101061101).

Almost surely, 2^{12002202122201} is an apocalyptic number.

It is an amenable number.

12002202122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002202122201 is an equidigital number, since it uses as much as digits as its factorization.

12002202122201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12002202122201 its reverse (10222120220021), we get a palindrome (22224322342222).

The spelling of 12002202122201 in words is "twelve trillion, two billion, two hundred two million, one hundred twenty-two thousand, two hundred one".