591121111102001 has 2 divisors, whose sum is σ = 591121111102002. Its totient is φ = 591121111102000.

The previous prime is 591121111101971. The next prime is 591121111102003. The reversal of 591121111102001 is 100201111121195.

591121111102001 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., 317130028341025 + 273991082760976 = 17808145^2 + 16552676^2 .

It is a cyclic number.

It is not a de Polignac number, because 591121111102001 - 2³⁴ = 591103931232817 is a prime.

Together with 591121111102003, 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 (591121111102003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 295560555551000 + 295560555551001.

It is an arithmetic number, because the mean of its divisors is an integer number (295560555551001).

Almost surely, 2^{591121111102001} is an apocalyptic number.

It is an amenable number.

591121111102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

591121111102001 is an equidigital number, since it uses as much as digits as its factorization.

591121111102001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 26.

Adding to 591121111102001 its reverse (100201111121195), we get a palindrome (691322222223196).

The spelling of 591121111102001 in words is "five hundred ninety-one trillion, one hundred twenty-one billion, one hundred eleven million, one hundred two thousand, one".