110110121122201 has 2 divisors, whose sum is σ = 110110121122202. Its totient is φ = 110110121122200.

The previous prime is 110110121122139. The next prime is 110110121122219. The reversal of 110110121122201 is 102221121011011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104965045110025 + 5145076012176 = 10245245^2 + 2268276^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110110121122201 is a prime.

It is not a weakly prime, because it can be changed into another prime (110110121122901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055060561100 + 55055060561101.

It is an arithmetic number, because the mean of its divisors is an integer number (55055060561101).

Almost surely, 2^{110110121122201} is an apocalyptic number.

It is an amenable number.

110110121122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110121122201 is an equidigital number, since it uses as much as digits as its factorization.

110110121122201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 110110121122201 its reverse (102221121011011), we get a palindrome (212331242133212).

The spelling of 110110121122201 in words is "one hundred ten trillion, one hundred ten billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred one".