10100010110017 has 2 divisors, whose sum is σ = 10100010110018. Its totient is φ = 10100010110016.

The previous prime is 10100010109967. The next prime is 10100010110077. The reversal of 10100010110017 is 71001101000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6330059753521 + 3769950356496 = 2515961^2 + 1941636^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100010110017 - 2¹⁵ = 10100010077249 is a prime.

It is a super-2 number, since 2×10100010110017² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10100010109979 and 10100010110006.

It is not a weakly prime, because it can be changed into another prime (10100010110077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050005055008 + 5050005055009.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005055009).

Almost surely, 2^{10100010110017} is an apocalyptic number.

It is an amenable number.

10100010110017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100010110017 is an equidigital number, since it uses as much as digits as its factorization.

10100010110017 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 13.

Adding to 10100010110017 its reverse (71001101000101), we get a palindrome (81101111110118).

The spelling of 10100010110017 in words is "ten trillion, one hundred billion, ten million, one hundred ten thousand, seventeen".