10011001011011 has 16 divisors (see below), whose sum is σ = 13441344016128. Its totient is φ = 7200720007200.

The previous prime is 10011001011001. The next prime is 10011001011059. The reversal of 10011001011011 is 11011010011001.

10011001011011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10011001011011 - 2³⁰ = 10009927269187 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10011001011011.

It is not an unprimeable number, because it can be changed into a prime (10011001011001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5000499005 + ... + 5000501006.

It is an arithmetic number, because the mean of its divisors is an integer number (840084001008).

Almost surely, 2^{10011001011011} is an apocalyptic number.

10011001011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10011001011011 is a deficient number, since it is larger than the sum of its proper divisors (3430343005117).

10011001011011 is a wasteful number, since it uses less digits than its factorization.

10011001011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10001000042.

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

Adding to 10011001011011 its reverse (11011010011001), we get a palindrome (21022011022012).

The spelling of 10011001011011 in words is "ten trillion, eleven billion, one million, eleven thousand, eleven".