110101001101001 has 2 divisors, whose sum is σ = 110101001101002. Its totient is φ = 110101001101000.

The previous prime is 110101001100997. The next prime is 110101001101087. The reversal of 110101001101001 is 100101100101011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94684109291776 + 15416891809225 = 9730576^2 + 3926435^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101001101001 - 2² = 110101001100997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110101001101001.

It is not a weakly prime, because it can be changed into another prime (110101001131001) 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, 55050500550500 + 55050500550501.

It is an arithmetic number, because the mean of its divisors is an integer number (55050500550501).

Almost surely, 2^{110101001101001} is an apocalyptic number.

It is an amenable number.

110101001101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101001101001 is an equidigital number, since it uses as much as digits as its factorization.

110101001101001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 110101001101001 its reverse (100101100101011), we get a palindrome (210202101202012).

The spelling of 110101001101001 in words is "one hundred ten trillion, one hundred one billion, one million, one hundred one thousand, one".