10001111011001 has 32 divisors (see below), whose sum is σ = 11103408246528. Its totient is φ = 8932719882240.

The previous prime is 10001111010971. The next prime is 10001111011033. The reversal of 10001111011001 is 10011011110001.

It is a de Polignac number, because none of the positive numbers 2^k-10001111011001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10001111011001.

It is not an unprimeable number, because it can be changed into a prime (10001111011051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72399140 + ... + 72537146.

It is an arithmetic number, because the mean of its divisors is an integer number (346981507704).

Almost surely, 2^{10001111011001} is an apocalyptic number.

10001111011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001111011001 is a deficient number, since it is larger than the sum of its proper divisors (1102297235527).

10001111011001 is a wasteful number, since it uses less digits than its factorization.

10001111011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138641.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10001111011001 its reverse (10011011110001), we get a palindrome (20012122121002).

It can be divided in two parts, 100011 and 11011001, that multiplied together give a palindrome (1101221221011).

The spelling of 10001111011001 in words is "ten trillion, one billion, one hundred eleven million, eleven thousand, one".