10017011 has 2 divisors, whose sum is σ = 10017012. Its totient is φ = 10017010.

The previous prime is 10016959. The next prime is 10017013. The reversal of 10017011 is 11071001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10017011 - 2¹⁸ = 9754867 is a prime.

Together with 10017013, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10016983 and 10017001.

It is not a weakly prime, because it can be changed into another prime (10017013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5008505 + 5008506.

It is an arithmetic number, because the mean of its divisors is an integer number (5008506).

Almost surely, 2^10017011 is an apocalyptic number.

10017011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10017011 is an equidigital number, since it uses as much as digits as its factorization.

10017011 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 11.

The square root of 10017011 is about 3164.9661925525. The cubic root of 10017011 is about 215.5655634261.

Adding to 10017011 its reverse (11071001), we get a palindrome (21088012).

It can be divided in two parts, 100170 and 11, that multiplied together give a triangular number (1101870 = T₁₄₈₄).

The spelling of 10017011 in words is "ten million, seventeen thousand, eleven".