10110009001 has 2 divisors, whose sum is σ = 10110009002. Its totient is φ = 10110009000.

The previous prime is 10110008977. The next prime is 10110009031. The reversal of 10110009001 is 10090001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5636405776 + 4473603225 = 75076^2 + 66885^2 .

It is a cyclic number.

It is not a de Polignac number, because 10110009001 - 2⁵ = 10110008969 is a prime.

It is not a weakly prime, because it can be changed into another prime (10110009031) 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, 5055004500 + 5055004501.

It is an arithmetic number, because the mean of its divisors is an integer number (5055004501).

Almost surely, 2^10110009001 is an apocalyptic number.

It is an amenable number.

10110009001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110009001 is an equidigital number, since it uses as much as digits as its factorization.

10110009001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 10110009001 in words is "ten billion, one hundred ten million, nine thousand, one".