110100111100081 has 2 divisors, whose sum is σ = 110100111100082. Its totient is φ = 110100111100080.

The previous prime is 110100111100079. The next prime is 110100111100141. The reversal of 110100111100081 is 180001111001011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109399383061056 + 700728039025 = 10459416^2 + 837095^2 .

It is an emirp because it is prime and its reverse (180001111001011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110100111100081 - 2¹ = 110100111100079 is a prime.

It is a super-2 number, since 2×110100111100081² (a number of 29 digits) contains 22 as substring.

Together with 110100111100079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (110100111100381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050055550040 + 55050055550041.

It is an arithmetic number, because the mean of its divisors is an integer number (55050055550041).

Almost surely, 2^{110100111100081} is an apocalyptic number.

It is an amenable number.

110100111100081 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100111100081 is an equidigital number, since it uses as much as digits as its factorization.

110100111100081 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 16.

Adding to 110100111100081 its reverse (180001111001011), we get a palindrome (290101222101092).

The spelling of 110100111100081 in words is "one hundred ten trillion, one hundred billion, one hundred eleven million, one hundred thousand, eighty-one".