110110001104001 has 2 divisors, whose sum is σ = 110110001104002. Its totient is φ = 110110001104000.

The previous prime is 110110001103983. The next prime is 110110001104009. The reversal of 110110001104001 is 100401100011011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77979072491776 + 32130928612225 = 8830576^2 + 5668415^2 .

It is a cyclic number.

It is not a de Polignac number, because 110110001104001 - 2²² = 110109996909697 is a prime.

It is not a weakly prime, because it can be changed into another prime (110110001104009) 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, 55055000552000 + 55055000552001.

It is an arithmetic number, because the mean of its divisors is an integer number (55055000552001).

Almost surely, 2^{110110001104001} is an apocalyptic number.

It is an amenable number.

110110001104001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110001104001 is an equidigital number, since it uses as much as digits as its factorization.

110110001104001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 110110001104001 its reverse (100401100011011), we get a palindrome (210511101115012).

The spelling of 110110001104001 in words is "one hundred ten trillion, one hundred ten billion, one million, one hundred four thousand, one".