1291193596201 has 2 divisors, whose sum is σ = 1291193596202. Its totient is φ = 1291193596200.

The previous prime is 1291193596153. The next prime is 1291193596213. The reversal of 1291193596201 is 1026953911921.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1172185155625 + 119008440576 = 1082675^2 + 344976^2 .

It is a cyclic number.

It is not a de Polignac number, because 1291193596201 - 2⁷ = 1291193596073 is a prime.

It is not a weakly prime, because it can be changed into another prime (1291193596291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 645596798100 + 645596798101.

It is an arithmetic number, because the mean of its divisors is an integer number (645596798101).

Almost surely, 2^{1291193596201} is an apocalyptic number.

It is an amenable number.

1291193596201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1291193596201 is an equidigital number, since it uses as much as digits as its factorization.

1291193596201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 262440, while the sum is 49.

The spelling of 1291193596201 in words is "one trillion, two hundred ninety-one billion, one hundred ninety-three million, five hundred ninety-six thousand, two hundred one".