101000001011017 has 2 divisors, whose sum is σ = 101000001011018. Its totient is φ = 101000001011016.

The previous prime is 101000001010991. The next prime is 101000001011051. The reversal of 101000001011017 is 710110100000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72695728340041 + 28304272670976 = 8526179^2 + 5320176^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000001011017 - 2¹⁹ = 101000000486729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101000001010988 and 101000001011006.

It is not a weakly prime, because it can be changed into another prime (101000001012017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500000505508 + 50500000505509.

It is an arithmetic number, because the mean of its divisors is an integer number (50500000505509).

Almost surely, 2^{101000001011017} is an apocalyptic number.

It is an amenable number.

101000001011017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000001011017 is an equidigital number, since it uses as much as digits as its factorization.

101000001011017 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 101000001011017 its reverse (710110100000101), we get a palindrome (811110101011118).

The spelling of 101000001011017 in words is "one hundred one trillion, one million, eleven thousand, seventeen".