110110011067241 has 2 divisors, whose sum is σ = 110110011067242. Its totient is φ = 110110011067240.

The previous prime is 110110011067157. The next prime is 110110011067267. The reversal of 110110011067241 is 142760110011011.

It is an a-pointer prime, because the next prime (110110011067267) can be obtained adding 110110011067241 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100008420177241 + 10101590890000 = 10000421^2 + 3178300^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110110011067241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110110011067241.

It is not a weakly prime, because it can be changed into another prime (110110011067541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055005533620 + 55055005533621.

It is an arithmetic number, because the mean of its divisors is an integer number (55055005533621).

Almost surely, 2^{110110011067241} is an apocalyptic number.

It is an amenable number.

110110011067241 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110011067241 is an equidigital number, since it uses as much as digits as its factorization.

110110011067241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 26.

Adding to 110110011067241 its reverse (142760110011011), we get a palindrome (252870121078252).

The spelling of 110110011067241 in words is "one hundred ten trillion, one hundred ten billion, eleven million, sixty-seven thousand, two hundred forty-one".