110011000100081 has 2 divisors, whose sum is σ = 110011000100082. Its totient is φ = 110011000100080.

The previous prime is 110011000100077. The next prime is 110011000100129. The reversal of 110011000100081 is 180001000110011.

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., 96317736505600 + 13693263594481 = 9814160^2 + 3700441^2 .

It is a cyclic number.

It is not a de Polignac number, because 110011000100081 - 2² = 110011000100077 is a prime.

It is a super-2 number, since 2×110011000100081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (110011000108081) 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, 55005500050040 + 55005500050041.

It is an arithmetic number, because the mean of its divisors is an integer number (55005500050041).

Almost surely, 2^{110011000100081} is an apocalyptic number.

It is an amenable number.

110011000100081 is a deficient number, since it is larger than the sum of its proper divisors (1).

110011000100081 is an equidigital number, since it uses as much as digits as its factorization.

110011000100081 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 14.

Adding to 110011000100081 its reverse (180001000110011), we get a palindrome (290012000210092).

The spelling of 110011000100081 in words is "one hundred ten trillion, eleven billion, one hundred thousand, eighty-one".