10011010111011 has 72 divisors (see below), whose sum is σ = 17922306504960. Its totient is φ = 5272516162368.

The previous prime is 10011010111007. The next prime is 10011010111021. The reversal of 10011010111011 is 11011101011001.

It is not a de Polignac number, because 10011010111011 - 2² = 10011010111007 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 = 10011010110984 and 10011010111002.

It is not an unprimeable number, because it can be changed into a prime (10011010111021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6302970 + ... + 7729776.

It is an arithmetic number, because the mean of its divisors is an integer number (248920923680).

Almost surely, 2^{10011010111011} is an apocalyptic number.

10011010111011 is a deficient number, since it is larger than the sum of its proper divisors (7911296393949).

10011010111011 is a wasteful number, since it uses less digits than its factorization.

10011010111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427505 (or 1427489 counting only the distinct ones).

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

Adding to 10011010111011 its reverse (11011101011001), we get a palindrome (21022111122012).

The spelling of 10011010111011 in words is "ten trillion, eleven billion, ten million, one hundred eleven thousand, eleven".