1101000101017 has 2 divisors, whose sum is σ = 1101000101018. Its totient is φ = 1101000101016.

The previous prime is 1101000101009. The next prime is 1101000101023. The reversal of 1101000101017 is 7101010001011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 607720030096 + 493280070921 = 779564^2 + 702339^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101000101017 - 2³ = 1101000101009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1101000100988 and 1101000101006.

It is not a weakly prime, because it can be changed into another prime (1101000131017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550500050508 + 550500050509.

It is an arithmetic number, because the mean of its divisors is an integer number (550500050509).

Almost surely, 2^{1101000101017} is an apocalyptic number.

It is an amenable number.

1101000101017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101000101017 is an equidigital number, since it uses as much as digits as its factorization.

1101000101017 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 1101000101017 its reverse (7101010001011), we get a palindrome (8202010102028).

The spelling of 1101000101017 in words is "one trillion, one hundred one billion, one hundred one thousand, seventeen".