1100011105873 has 2 divisors, whose sum is σ = 1100011105874. Its totient is φ = 1100011105872.

The previous prime is 1100011105871. The next prime is 1100011105979. The reversal of 1100011105873 is 3785011100011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1098486359569 + 1524746304 = 1048087^2 + 39048^2 .

It is an emirp because it is prime and its reverse (3785011100011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1100011105873 - 2¹ = 1100011105871 is a prime.

Together with 1100011105871, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1100011105871) 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 as a sum of consecutive naturals, namely, 550005552936 + 550005552937.

It is an arithmetic number, because the mean of its divisors is an integer number (550005552937).

Almost surely, 2^{1100011105873} is an apocalyptic number.

It is an amenable number.

1100011105873 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100011105873 is an equidigital number, since it uses as much as digits as its factorization.

1100011105873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 28.

Adding to 1100011105873 its reverse (3785011100011), we get a palindrome (4885022205884).

The spelling of 1100011105873 in words is "one trillion, one hundred billion, eleven million, one hundred five thousand, eight hundred seventy-three".