1000101011017 has 2 divisors, whose sum is σ = 1000101011018. Its totient is φ = 1000101011016.

The previous prime is 1000101011009. The next prime is 1000101011027. The reversal of 1000101011017 is 7101101010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 808796247561 + 191304763456 = 899331^2 + 437384^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000101011017 - 2³ = 1000101011009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000101010988 and 1000101011006.

It is not a weakly prime, because it can be changed into another prime (1000101011027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050505508 + 500050505509.

It is an arithmetic number, because the mean of its divisors is an integer number (500050505509).

Almost surely, 2^{1000101011017} is an apocalyptic number.

It is an amenable number.

1000101011017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000101011017 is an equidigital number, since it uses as much as digits as its factorization.

1000101011017 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 1000101011017 its reverse (7101101010001), we get a palindrome (8101202021018).

The spelling of 1000101011017 in words is "one trillion, one hundred one million, eleven thousand, seventeen".