1011001110017 has 2 divisors, whose sum is σ = 1011001110018. Its totient is φ = 1011001110016.

The previous prime is 1011001109981. The next prime is 1011001110103. The reversal of 1011001110017 is 7100111001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 673189071361 + 337812038656 = 820481^2 + 581216^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011001110017 - 2⁶ = 1011001109953 is a prime.

It is a super-2 number, since 2×1011001110017² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1011001109983 and 1011001110010.

It is not a weakly prime, because it can be changed into another prime (1011001410017) 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, 505500555008 + 505500555009.

It is an arithmetic number, because the mean of its divisors is an integer number (505500555009).

Almost surely, 2^{1011001110017} is an apocalyptic number.

It is an amenable number.

1011001110017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011001110017 is an equidigital number, since it uses as much as digits as its factorization.

1011001110017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 1011001110017 its reverse (7100111001101), we get a palindrome (8111112111118).

The spelling of 1011001110017 in words is "one trillion, eleven billion, one million, one hundred ten thousand, seventeen".