110110110110201 has 2 divisors, whose sum is σ = 110110110110202. Its totient is φ = 110110110110200.

The previous prime is 110110110110177. The next prime is 110110110110267. The reversal of 110110110110201 is 102011011011011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74627120412601 + 35482989697600 = 8638699^2 + 5956760^2 .

It is a cyclic number.

It is not a de Polignac number, because 110110110110201 - 2¹⁰ = 110110110109177 is a prime.

It is not a weakly prime, because it can be changed into another prime (110110110110291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055055055100 + 55055055055101.

It is an arithmetic number, because the mean of its divisors is an integer number (55055055055101).

Almost surely, 2^{110110110110201} is an apocalyptic number.

It is an amenable number.

110110110110201 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110110110201 is an equidigital number, since it uses as much as digits as its factorization.

110110110110201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 110110110110201 its reverse (102011011011011), we get a palindrome (212121121121212).

The spelling of 110110110110201 in words is "one hundred ten trillion, one hundred ten billion, one hundred ten million, one hundred ten thousand, two hundred one".