110110000110161 has 2 divisors, whose sum is σ = 110110000110162. Its totient is φ = 110110000110160.

The previous prime is 110110000110137. The next prime is 110110000110163. The reversal of 110110000110161 is 161011000011011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105128930497600 + 4981069612561 = 10253240^2 + 2231831^2 .

It is a cyclic number.

It is not a de Polignac number, because 110110000110161 - 2²⁶ = 110109933001297 is a prime.

Together with 110110000110163, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (110110000110163) 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, 55055000055080 + 55055000055081.

It is an arithmetic number, because the mean of its divisors is an integer number (55055000055081).

Almost surely, 2^{110110000110161} is an apocalyptic number.

It is an amenable number.

110110000110161 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110000110161 is an equidigital number, since it uses as much as digits as its factorization.

110110000110161 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 14.

Adding to 110110000110161 its reverse (161011000011011), we get a palindrome (271121000121172).

The spelling of 110110000110161 in words is "one hundred ten trillion, one hundred ten billion, one hundred ten thousand, one hundred sixty-one".