110011011110081 has 2 divisors, whose sum is σ = 110011011110082. Its totient is φ = 110011011110080.

The previous prime is 110011011110057. The next prime is 110011011110107. The reversal of 110011011110081 is 180011110110011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75958476053056 + 34052535057025 = 8715416^2 + 5835455^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110011011110081 is a prime.

It is a super-2 number, since 2×110011011110081² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (110011011112081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005505555040 + 55005505555041.

It is an arithmetic number, because the mean of its divisors is an integer number (55005505555041).

Almost surely, 2^{110011011110081} is an apocalyptic number.

It is an amenable number.

110011011110081 is a deficient number, since it is larger than the sum of its proper divisors (1).

110011011110081 is an equidigital number, since it uses as much as digits as its factorization.

110011011110081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 17.

Adding to 110011011110081 its reverse (180011110110011), we get a palindrome (290022121220092).

The spelling of 110011011110081 in words is "one hundred ten trillion, eleven billion, eleven million, one hundred ten thousand, eighty-one".