110111001101173 has 2 divisors, whose sum is σ = 110111001101174. Its totient is φ = 110111001101172.

The previous prime is 110111001101053. The next prime is 110111001101203. The reversal of 110111001101173 is 371101100111011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67266357382449 + 42844643718724 = 8201607^2 + 6545582^2 .

It is a cyclic number.

It is not a de Polignac number, because 110111001101173 - 2⁴⁵ = 74926629012341 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110111001101173.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110111001501173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055500550586 + 55055500550587.

It is an arithmetic number, because the mean of its divisors is an integer number (55055500550587).

Almost surely, 2^{110111001101173} is an apocalyptic number.

It is an amenable number.

110111001101173 is a deficient number, since it is larger than the sum of its proper divisors (1).

110111001101173 is an equidigital number, since it uses as much as digits as its factorization.

110111001101173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 19.

Adding to 110111001101173 its reverse (371101100111011), we get a palindrome (481212101212184).

The spelling of 110111001101173 in words is "one hundred ten trillion, one hundred eleven billion, one million, one hundred one thousand, one hundred seventy-three".