101001011017 has 2 divisors, whose sum is σ = 101001011018. Its totient is φ = 101001011016.

The previous prime is 101001011011. The next prime is 101001011047. The reversal of 101001011017 is 710110100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100740220816 + 260790201 = 317396^2 + 16149^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001011017 - 2¹⁵ = 101000978249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101001010988 and 101001011006.

It is not a weakly prime, because it can be changed into another prime (101001011011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500505508 + 50500505509.

It is an arithmetic number, because the mean of its divisors is an integer number (50500505509).

Almost surely, 2^101001011017 is an apocalyptic number.

It is an amenable number.

101001011017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001011017 is an equidigital number, since it uses as much as digits as its factorization.

101001011017 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 101001011017 its reverse (710110100101), we get a palindrome (811111111118).

The spelling of 101001011017 in words is "one hundred one billion, one million, eleven thousand, seventeen".