110009999900011 has 2 divisors, whose sum is σ = 110009999900012. Its totient is φ = 110009999900010.

The previous prime is 110009999899979. The next prime is 110009999900033.

It is a happy number.

110009999900011 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 110009999900011 - 2⁵ = 110009999899979 is a prime.

It is a zygodrome in base 10.

It is not a weakly prime, because it can be changed into another prime (110009999900051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55004999950005 + 55004999950006.

It is an arithmetic number, because the mean of its divisors is an integer number (55004999950006).

Almost surely, 2^{110009999900011} is an apocalyptic number.

110009999900011 is a deficient number, since it is larger than the sum of its proper divisors (1).

110009999900011 is an equidigital number, since it uses as much as digits as its factorization.

110009999900011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 59049, while the sum is 49.

The spelling of 110009999900011 in words is "one hundred ten trillion, nine billion, nine hundred ninety-nine million, nine hundred thousand, eleven".