10011011011011 has 96 divisors (see below), whose sum is σ = 16059334636800. Its totient is φ = 6213018556800.

The previous prime is 10011011011009. The next prime is 10011011011021. The reversal of 10011011011011 is 11011011011001.

It is not a de Polignac number, because 10011011011011 - 2¹ = 10011011011009 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 = 10011011010984 and 10011011011002.

It is not an unprimeable number, because it can be changed into a prime (10011011011021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 827281861 + ... + 827293961.

It is an arithmetic number, because the mean of its divisors is an integer number (167284735800).

Almost surely, 2^{10011011011011} is an apocalyptic number.

10011011011011 is a deficient number, since it is larger than the sum of its proper divisors (6048323625789).

10011011011011 is a wasteful number, since it uses less digits than its factorization.

10011011011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15231 (or 15219 counting only the distinct ones).

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

Adding to 10011011011011 its reverse (11011011011001), we get a palindrome (21022022022012).

The spelling of 10011011011011 in words is "ten trillion, eleven billion, eleven million, eleven thousand, eleven".