11001010001001 has 64 divisors (see below), whose sum is σ = 16081917728256. Its totient is φ = 6663134822400.

The previous prime is 11001010000979. The next prime is 11001010001039. The reversal of 11001010001001 is 10010001010011.

It is not a de Polignac number, because 11001010001001 - 2⁷ = 11001010000873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11001010001041) 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 in 63 ways as a sum of consecutive naturals, for example, 36061731 + ... + 36365511.

It is an arithmetic number, because the mean of its divisors is an integer number (251279964504).

Almost surely, 2^{11001010001001} is an apocalyptic number.

It is an amenable number.

11001010001001 is a deficient number, since it is larger than the sum of its proper divisors (5080907727255).

11001010001001 is a wasteful number, since it uses less digits than its factorization.

11001010001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304082.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11001010001001 its reverse (10010001010011), we get a palindrome (21011011011012).

The spelling of 11001010001001 in words is "eleven trillion, one billion, ten million, one thousand, one".