110001000110161 has 2 divisors, whose sum is σ = 110001000110162. Its totient is φ = 110001000110160.

The previous prime is 110001000110093. The next prime is 110001000110189. The reversal of 110001000110161 is 161011000100011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74389227756561 + 35611772353600 = 8624919^2 + 5967560^2 .

It is an emirp because it is prime and its reverse (161011000100011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110001000110161 - 2⁷ = 110001000110033 is a prime.

It is not a weakly prime, because it can be changed into another prime (110001007110161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55000500055080 + 55000500055081.

It is an arithmetic number, because the mean of its divisors is an integer number (55000500055081).

Almost surely, 2^{110001000110161} is an apocalyptic number.

It is an amenable number.

110001000110161 is a deficient number, since it is larger than the sum of its proper divisors (1).

110001000110161 is an equidigital number, since it uses as much as digits as its factorization.

110001000110161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 110001000110161 its reverse (161011000100011), we get a palindrome (271012000210172).

The spelling of 110001000110161 in words is "one hundred ten trillion, one billion, one hundred ten thousand, one hundred sixty-one".