10001110011001 has 12 divisors (see below), whose sum is σ = 10032223479460. Its totient is φ = 9970092554400.

The previous prime is 10001110010959. The next prime is 10001110011007. The reversal of 10001110011001 is 10011001110001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9197754528400 + 803355482601 = 3032780^2 + 896301^2 .

It is not a de Polignac number, because 10001110011001 - 2⁷ = 10001110010873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001110011007) 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 11 ways as a sum of consecutive naturals, for example, 1010106151 + ... + 1010116051.

Almost surely, 2^{10001110011001} is an apocalyptic number.

It is an amenable number.

10001110011001 is a deficient number, since it is larger than the sum of its proper divisors (31113468459).

10001110011001 is an frugal number, since it uses more digits than its factorization.

10001110011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18984 (or 18637 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10001110011001 its reverse (10011001110001), we get a palindrome (20012111121002).

The spelling of 10001110011001 in words is "ten trillion, one billion, one hundred ten million, eleven thousand, one".