10001120111089 has 2 divisors, whose sum is σ = 10001120111090. Its totient is φ = 10001120111088.

The previous prime is 10001120111077. The next prime is 10001120111107. The reversal of 10001120111089 is 98011102110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7127874756864 + 2873245354225 = 2669808^2 + 1695065^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001120111089 - 2⁵ = 10001120111057 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001120111069) 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, 5000560055544 + 5000560055545.

It is an arithmetic number, because the mean of its divisors is an integer number (5000560055545).

Almost surely, 2^{10001120111089} is an apocalyptic number.

It is an amenable number.

10001120111089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001120111089 is an equidigital number, since it uses as much as digits as its factorization.

10001120111089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 25.

The spelling of 10001120111089 in words is "ten trillion, one billion, one hundred twenty million, one hundred eleven thousand, eighty-nine".