10101000011017 has 2 divisors, whose sum is σ = 10101000011018. Its totient is φ = 10101000011016.

The previous prime is 10101000010987. The next prime is 10101000011021. The reversal of 10101000011017 is 71011000010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9365901261376 + 735098749641 = 3060376^2 + 857379^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101000011017 - 2³¹ = 10098852527369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101000010988 and 10101000011006.

It is not a weakly prime, because it can be changed into another prime (10101000011027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050500005508 + 5050500005509.

It is an arithmetic number, because the mean of its divisors is an integer number (5050500005509).

Almost surely, 2^{10101000011017} is an apocalyptic number.

It is an amenable number.

10101000011017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101000011017 is an equidigital number, since it uses as much as digits as its factorization.

10101000011017 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 10101000011017 its reverse (71011000010101), we get a palindrome (81112000021118).

The spelling of 10101000011017 in words is "ten trillion, one hundred one billion, eleven thousand, seventeen".