9017102116801 has 3 divisors (see below), whose sum is σ = 9017105119651. Its totient is φ = 9017099113952.

The previous prime is 9017102116787. The next prime is 9017102116807. The reversal of 9017102116801 is 1086112017109.

It is a happy number.

The square root of 9017102116801 is 3002849.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 8980804246401 + 36297870400 = 2996799^2 + 190520^2 .

It is not a de Polignac number, because 9017102116801 - 2⁹ = 9017102116289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9017102116807) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1501425 + ... + 4504273.

Almost surely, 2^{9017102116801} is an apocalyptic number.

9017102116801 is the 3002849-th square number.

9017102116801 is the 1501425-th centered octagonal number.

It is an amenable number.

9017102116801 is a deficient number, since it is larger than the sum of its proper divisors (3002850).

9017102116801 is an frugal number, since it uses more digits than its factorization.

9017102116801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6005698 (or 3002849 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 37.

The spelling of 9017102116801 in words is "nine trillion, seventeen billion, one hundred two million, one hundred sixteen thousand, eight hundred one".