1100111100017 has 4 divisors (see below), whose sum is σ = 1118145708276. Its totient is φ = 1082076491760.

The previous prime is 1100111100007. The next prime is 1100111100031. The reversal of 1100111100017 is 7100011110011.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 202485600256 + 897625499761 = 449984^2 + 947431^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100111100017 - 2¹⁴ = 1100111083633 is a prime.

It is a super-2 number, since 2×1100111100017² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100111099974 and 1100111100010.

It is not an unprimeable number, because it can be changed into a prime (1100111100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9017304038 + ... + 9017304159.

It is an arithmetic number, because the mean of its divisors is an integer number (279536427069).

Almost surely, 2^{1100111100017} is an apocalyptic number.

It is an amenable number.

1100111100017 is a deficient number, since it is larger than the sum of its proper divisors (18034608259).

1100111100017 is an equidigital number, since it uses as much as digits as its factorization.

1100111100017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18034608258.

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 1100111100017 its reverse (7100011110011), we get a palindrome (8200122210028).

The spelling of 1100111100017 in words is "one trillion, one hundred billion, one hundred eleven million, one hundred thousand, seventeen".