110106100106011 has 2 divisors, whose sum is σ = 110106100106012. Its totient is φ = 110106100106010.

The previous prime is 110106100105931. The next prime is 110106100106021. The reversal of 110106100106011 is 110601001601011.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (110601001601011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110106100106011 - 2¹⁵ = 110106100073243 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110106100106011.

It is not a weakly prime, because it can be changed into another prime (110106100106021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55053050053005 + 55053050053006.

It is an arithmetic number, because the mean of its divisors is an integer number (55053050053006).

Almost surely, 2^{110106100106011} is an apocalyptic number.

110106100106011 is a deficient number, since it is larger than the sum of its proper divisors (1).

110106100106011 is an equidigital number, since it uses as much as digits as its factorization.

110106100106011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 110106100106011 its reverse (110601001601011), we get a palindrome (220707101707022).

The spelling of 110106100106011 in words is "one hundred ten trillion, one hundred six billion, one hundred million, one hundred six thousand, eleven".