110001101118001 has 2 divisors, whose sum is σ = 110001101118002. Its totient is φ = 110001101118000.

The previous prime is 110001101117977. The next prime is 110001101118023. The reversal of 110001101118001 is 100811101100011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66435556941601 + 43565544176400 = 8150801^2 + 6600420^2 .

It is an emirp because it is prime and its reverse (100811101100011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110001101118001 - 2³⁹ = 109451345304113 is a prime.

It is not a weakly prime, because it can be changed into another prime (110001101118091) 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, 55000550559000 + 55000550559001.

It is an arithmetic number, because the mean of its divisors is an integer number (55000550559001).

Almost surely, 2^{110001101118001} is an apocalyptic number.

It is an amenable number.

110001101118001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110001101118001 is an equidigital number, since it uses as much as digits as its factorization.

110001101118001 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 110001101118001 its reverse (100811101100011), we get a palindrome (210812202218012).

The spelling of 110001101118001 in words is "one hundred ten trillion, one billion, one hundred one million, one hundred eighteen thousand, one".