110001006001 has 2 divisors, whose sum is σ = 110001006002. Its totient is φ = 110001006000.

The previous prime is 110001005999. The next prime is 110001006043. The reversal of 110001006001 is 100600100011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109841867776 + 159138225 = 331424^2 + 12615^2 .

It is a cyclic number.

It is not a de Polignac number, because 110001006001 - 2¹ = 110001005999 is a prime.

It is a super-3 number, since 3×110001006001³ (a number of 34 digits) contains 333 as substring.

Together with 110001005999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (110001006061) 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, 55000503000 + 55000503001.

It is an arithmetic number, because the mean of its divisors is an integer number (55000503001).

Almost surely, 2^110001006001 is an apocalyptic number.

It is an amenable number.

110001006001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110001006001 is an equidigital number, since it uses as much as digits as its factorization.

110001006001 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 10.

Adding to 110001006001 its reverse (100600100011), we get a palindrome (210601106012).

The spelling of 110001006001 in words is "one hundred ten billion, one million, six thousand, one".