110111101161001 has 2 divisors, whose sum is σ = 110111101161002. Its totient is φ = 110111101161000.

The previous prime is 110111101160987. The next prime is 110111101161007. The reversal of 110111101161001 is 100161101111011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109969199024400 + 141902136601 = 10486620^2 + 376699^2 .

It is an emirp because it is prime and its reverse (100161101111011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110111101161001 - 2¹³ = 110111101152809 is a prime.

It is not a weakly prime, because it can be changed into another prime (110111101161007) 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, 55055550580500 + 55055550580501.

It is an arithmetic number, because the mean of its divisors is an integer number (55055550580501).

Almost surely, 2^{110111101161001} is an apocalyptic number.

It is an amenable number.

110111101161001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110111101161001 is an equidigital number, since it uses as much as digits as its factorization.

110111101161001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 16.

Adding to 110111101161001 its reverse (100161101111011), we get a palindrome (210272202272012).

The spelling of 110111101161001 in words is "one hundred ten trillion, one hundred eleven billion, one hundred one million, one hundred sixty-one thousand, one".