791101201001 has 2 divisors, whose sum is σ = 791101201002. Its totient is φ = 791101201000.

The previous prime is 791101200979. The next prime is 791101201067. The reversal of 791101201001 is 100102101197.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 541620930601 + 249480270400 = 735949^2 + 499480^2 .

It is a cyclic number.

It is not a de Polignac number, because 791101201001 - 2³⁴ = 773921331817 is a prime.

It is a super-2 number, since 2×791101201001² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (791101201201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 395550600500 + 395550600501.

It is an arithmetic number, because the mean of its divisors is an integer number (395550600501).

Almost surely, 2^791101201001 is an apocalyptic number.

It is an amenable number.

791101201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

791101201001 is an equidigital number, since it uses as much as digits as its factorization.

791101201001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 23.

Adding to 791101201001 its reverse (100102101197), we get a palindrome (891203302198).

The spelling of 791101201001 in words is "seven hundred ninety-one billion, one hundred one million, two hundred one thousand, one".