10001011001017 has 2 divisors, whose sum is σ = 10001011001018. Its totient is φ = 10001011001016.

The previous prime is 10001011000997. The next prime is 10001011001057. The reversal of 10001011001017 is 71010011010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9932481709056 + 68529291961 = 3151584^2 + 261781^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001011001017 - 2²³ = 10001002612409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001011000988 and 10001011001006.

It is not a weakly prime, because it can be changed into another prime (10001011001057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000505500508 + 5000505500509.

It is an arithmetic number, because the mean of its divisors is an integer number (5000505500509).

Almost surely, 2^{10001011001017} is an apocalyptic number.

It is an amenable number.

10001011001017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001011001017 is an equidigital number, since it uses as much as digits as its factorization.

10001011001017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 13.

Adding to 10001011001017 its reverse (71010011010001), we get a palindrome (81011022011018).

The spelling of 10001011001017 in words is "ten trillion, one billion, eleven million, one thousand, seventeen".