10011010011011 has 16 divisors (see below), whose sum is σ = 10580116924800. Its totient is φ = 9458995273728.

The previous prime is 10011010011007. The next prime is 10011010011031. The reversal of 10011010011011 is 11011001011001.

10011010011011 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 10011010011011 - 2² = 10011010011007 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 10011010011011.

It is not an unprimeable number, because it can be changed into a prime (10011010011001) 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, 19076126 + ... + 19593891.

It is an arithmetic number, because the mean of its divisors is an integer number (661257307800).

Almost surely, 2^{10011010011011} is an apocalyptic number.

10011010011011 is a deficient number, since it is larger than the sum of its proper divisors (569106913789).

10011010011011 is a wasteful number, since it uses less digits than its factorization.

10011010011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38670238.

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

Adding to 10011010011011 its reverse (11011001011001), we get a palindrome (21022011022012).

The spelling of 10011010011011 in words is "ten trillion, eleven billion, ten million, eleven thousand, eleven".