110011101001 has 2 divisors, whose sum is σ = 110011101002. Its totient is φ = 110011101000.

The previous prime is 110011100951. The next prime is 110011101023. The reversal of 110011101001 is 100101110011.

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., 106824385600 + 3186715401 = 326840^2 + 56451^2 .

It is a cyclic number.

It is not a de Polignac number, because 110011101001 - 2¹⁹ = 110010576713 is a prime.

It is not a weakly prime, because it can be changed into another prime (110011101091) 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, 55005550500 + 55005550501.

It is an arithmetic number, because the mean of its divisors is an integer number (55005550501).

Almost surely, 2^110011101001 is an apocalyptic number.

It is an amenable number.

110011101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110011101001 is an equidigital number, since it uses as much as digits as its factorization.

110011101001 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 7.

Adding to 110011101001 its reverse (100101110011), we get a palindrome (210112211012).

The spelling of 110011101001 in words is "one hundred ten billion, eleven million, one hundred one thousand, one".