9000111101041 has 2 divisors, whose sum is σ = 9000111101042. Its totient is φ = 9000111101040.

The previous prime is 9000111101017. The next prime is 9000111101057. The reversal of 9000111101041 is 1401011110009.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4648318752016 + 4351792349025 = 2155996^2 + 2086095^2 .

It is a cyclic number.

It is not a de Polignac number, because 9000111101041 - 2²⁵ = 9000077546609 is a prime.

It is a super-2 number, since 2×9000111101041² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9000111101441) 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, 4500055550520 + 4500055550521.

It is an arithmetic number, because the mean of its divisors is an integer number (4500055550521).

Almost surely, 2^{9000111101041} is an apocalyptic number.

It is an amenable number.

9000111101041 is a deficient number, since it is larger than the sum of its proper divisors (1).

9000111101041 is an equidigital number, since it uses as much as digits as its factorization.

9000111101041 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 19.

The spelling of 9000111101041 in words is "nine trillion, one hundred eleven million, one hundred one thousand, forty-one".