1101101001017 has 2 divisors, whose sum is σ = 1101101001018. Its totient is φ = 1101101001016.

The previous prime is 1101101000971. The next prime is 1101101001019. The reversal of 1101101001017 is 7101001011011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 782851574521 + 318249426496 = 884789^2 + 564136^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101101001017 - 2¹⁰ = 1101100999993 is a prime.

Together with 1101101001019, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1101101000992 and 1101101001010.

It is not a weakly prime, because it can be changed into another prime (1101101001019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550550500508 + 550550500509.

It is an arithmetic number, because the mean of its divisors is an integer number (550550500509).

Almost surely, 2^{1101101001017} is an apocalyptic number.

It is an amenable number.

1101101001017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101101001017 is an equidigital number, since it uses as much as digits as its factorization.

1101101001017 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 14.

Adding to 1101101001017 its reverse (7101001011011), we get a palindrome (8202102012028).

The spelling of 1101101001017 in words is "one trillion, one hundred one billion, one hundred one million, one thousand, seventeen".