10010001001 has 24 divisors (see below), whose sum is σ = 13541834432. Its totient is φ = 7199992800.

The previous prime is 10010000999. The next prime is 10010001011.

10010001001 is nontrivially palindromic in base 10.

10010001001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10010001001 - 2¹ = 10010000999 is a prime.

10010001001 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (10010001011) 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 in 23 ways as a sum of consecutive naturals, for example, 443535 + ... + 465556.

Almost surely, 2^10010001001 is an apocalyptic number.

10010001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010001001 is a deficient number, since it is larger than the sum of its proper divisors (3531833431).

10010001001 is a wasteful number, since it uses less digits than its factorization.

10010001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909133 (or 909122 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

It can be divided in two parts, 1001000 and 1001, that added together give a palindrome (1002001).

The spelling of 10010001001 in words is "ten billion, ten million, one thousand, one".