1017161616101 has 4 divisors (see below), whose sum is σ = 1017364202604. Its totient is φ = 1016959029600.

The previous prime is 1017161616083. The next prime is 1017161616109. The reversal of 1017161616101 is 1016161617101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 465602887201 + 551558728900 = 682351^2 + 742670^2 .

It is a cyclic number.

It is not a de Polignac number, because 1017161616101 - 2³⁸ = 742283709157 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1017161616109) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 101285720 + ... + 101295761.

It is an arithmetic number, because the mean of its divisors is an integer number (254341050651).

Almost surely, 2^{1017161616101} is an apocalyptic number.

It is an amenable number.

1017161616101 is a deficient number, since it is larger than the sum of its proper divisors (202586503).

1017161616101 is an equidigital number, since it uses as much as digits as its factorization.

1017161616101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202586502.

The product of its (nonzero) digits is 1512, while the sum is 32.

The spelling of 1017161616101 in words is "one trillion, seventeen billion, one hundred sixty-one million, six hundred sixteen thousand, one hundred one".