9121111201001 has 2 divisors, whose sum is σ = 9121111201002. Its totient is φ = 9121111201000.

The previous prime is 9121111200941. The next prime is 9121111201019. The reversal of 9121111201001 is 1001021111219.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5176994640601 + 3944116560400 = 2275301^2 + 1985980^2 .

It is an emirp because it is prime and its reverse (1001021111219) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9121111201001 - 2²⁶ = 9121044092137 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (9121111201021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4560555600500 + 4560555600501.

It is an arithmetic number, because the mean of its divisors is an integer number (4560555600501).

Almost surely, 2^{9121111201001} is an apocalyptic number.

It is an amenable number.

9121111201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

9121111201001 is an equidigital number, since it uses as much as digits as its factorization.

9121111201001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 20.

It can be divided in two parts, 912111 and 1201001, that added together give a palindrome (2113112).

The spelling of 9121111201001 in words is "nine trillion, one hundred twenty-one billion, one hundred eleven million, two hundred one thousand, one".