12001020220001 has 2 divisors, whose sum is σ = 12001020220002. Its totient is φ = 12001020220000.

The previous prime is 12001020219997. The next prime is 12001020220003. The reversal of 12001020220001 is 10002202010021.

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., 6510790140625 + 5490230079376 = 2551625^2 + 2343124^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001020220001 - 2² = 12001020219997 is a prime.

Together with 12001020220003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12001020220003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000510110000 + 6000510110001.

It is an arithmetic number, because the mean of its divisors is an integer number (6000510110001).

Almost surely, 2^{12001020220001} is an apocalyptic number.

It is an amenable number.

12001020220001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001020220001 is an equidigital number, since it uses as much as digits as its factorization.

12001020220001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12001020220001 its reverse (10002202010021), we get a palindrome (22003222230022).

The spelling of 12001020220001 in words is "twelve trillion, one billion, twenty million, two hundred twenty thousand, one".