110111000000161 has 2 divisors, whose sum is σ = 110111000000162. Its totient is φ = 110111000000160.

The previous prime is 110111000000083. The next prime is 110111000000219. The reversal of 110111000000161 is 161000000111011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109839433945761 + 271566054400 = 10480431^2 + 521120^2 .

It is a cyclic number.

It is not a de Polignac number, because 110111000000161 - 2¹⁷ = 110110999869089 is a prime.

It is not a weakly prime, because it can be changed into another prime (110111000100161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055500000080 + 55055500000081.

It is an arithmetic number, because the mean of its divisors is an integer number (55055500000081).

Almost surely, 2^{110111000000161} is an apocalyptic number.

It is an amenable number.

110111000000161 is a deficient number, since it is larger than the sum of its proper divisors (1).

110111000000161 is an equidigital number, since it uses as much as digits as its factorization.

110111000000161 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 110111000000161 its reverse (161000000111011), we get a palindrome (271111000111172).

The spelling of 110111000000161 in words is "one hundred ten trillion, one hundred eleven billion, one hundred sixty-one", and thus it is an aban number.