110100001011001 has 2 divisors, whose sum is σ = 110100001011002. Its totient is φ = 110100001011000.

The previous prime is 110100001010981. The next prime is 110100001011043. The reversal of 110100001011001 is 100110100001011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103494710365225 + 6605290645776 = 10173235^2 + 2570076^2 .

It is a cyclic number.

It is not a de Polignac number, because 110100001011001 - 2²⁹ = 110099464140089 is a prime.

It is not a weakly prime, because it can be changed into another prime (110100001011901) 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, 55050000505500 + 55050000505501.

It is an arithmetic number, because the mean of its divisors is an integer number (55050000505501).

Almost surely, 2^{110100001011001} is an apocalyptic number.

It is an amenable number.

110100001011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100001011001 is an equidigital number, since it uses as much as digits as its factorization.

110100001011001 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 110100001011001 its reverse (100110100001011), we get a palindrome (210210101012012).

The spelling of 110100001011001 in words is "one hundred ten trillion, one hundred billion, one million, eleven thousand, one".