90001101000017 has 2 divisors, whose sum is σ = 90001101000018. Its totient is φ = 90001101000016.

The previous prime is 90001100999981. The next prime is 90001101000037. The reversal of 90001101000017 is 71000010110009.

It is an a-pointer prime, because the next prime (90001101000037) can be obtained adding 90001101000017 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60394051792321 + 29607049207696 = 7771361^2 + 5441236^2 .

It is an emirp because it is prime and its reverse (71000010110009) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 90001101000017 - 2¹⁰ = 90001100998993 is a prime.

It is a super-2 number, since 2×90001101000017² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (90001101000037) 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, 45000550500008 + 45000550500009.

It is an arithmetic number, because the mean of its divisors is an integer number (45000550500009).

Almost surely, 2^{90001101000017} is an apocalyptic number.

It is an amenable number.

90001101000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

90001101000017 is an equidigital number, since it uses as much as digits as its factorization.

90001101000017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 20.

The spelling of 90001101000017 in words is "ninety trillion, one billion, one hundred one million, seventeen", and thus it is an aban number.