10011011101011 has 12 divisors (see below), whose sum is σ = 14462566957800. Its totient is φ = 6672983897760.

The previous prime is 10011011100989. The next prime is 10011011101061. The reversal of 10011011101011 is 11010111011001.

10011011101011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10011011101011 - 2¹⁰ = 10011011099987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10011011100984 and 10011011101002.

It is not an unprimeable number, because it can be changed into a prime (10011011101061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85229961 + ... + 85347338.

It is an arithmetic number, because the mean of its divisors is an integer number (1205213913150).

Almost surely, 2^{10011011101011} is an apocalyptic number.

10011011101011 is a deficient number, since it is larger than the sum of its proper divisors (4451555856789).

10011011101011 is a wasteful number, since it uses less digits than its factorization.

10011011101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170583826 (or 170583823 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10011011101011 its reverse (11010111011001), we get a palindrome (21021122112012).

The spelling of 10011011101011 in words is "ten trillion, eleven billion, eleven million, one hundred one thousand, eleven".