90001101110009 has 2 divisors, whose sum is σ = 90001101110010. Its totient is φ = 90001101110008.

The previous prime is 90001101109897. The next prime is 90001101110021. The reversal of 90001101110009 is 90001110110009.

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., 46410537750784 + 43590563359225 = 6812528^2 + 6602315^2 .

It is a cyclic number.

It is not a de Polignac number, because 90001101110009 - 2²⁸ = 90000832674553 is a prime.

It is not a weakly prime, because it can be changed into another prime (90001101110059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45000550555004 + 45000550555005.

It is an arithmetic number, because the mean of its divisors is an integer number (45000550555005).

Almost surely, 2^{90001101110009} is an apocalyptic number.

It is an amenable number.

90001101110009 is a deficient number, since it is larger than the sum of its proper divisors (1).

90001101110009 is an equidigital number, since it uses as much as digits as its factorization.

90001101110009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 23.

Subtracting 90001101110009 from its reverse (90001110110009), we obtain a square (9000000 = 3000²).

The spelling of 90001101110009 in words is "ninety trillion, one billion, one hundred one million, one hundred ten thousand, nine".