10111111011 has 20 divisors (see below), whose sum is σ = 15123300192. Its totient is φ = 6732240048.

The previous prime is 10111111009. The next prime is 10111111019. The reversal of 10111111011 is 11011111101.

It is not a de Polignac number, because 10111111011 - 2¹ = 10111111009 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 = 10111110984 and 10111111002.

It is not an unprimeable number, because it can be changed into a prime (10111111019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13755 + ... + 142868.

Almost surely, 2^10111111011 is an apocalyptic number.

10111111011 is a deficient number, since it is larger than the sum of its proper divisors (5012189181).

10111111011 is an equidigital number, since it uses as much as digits as its factorization.

10111111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157432 (or 157423 counting only the distinct ones).

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

Adding to 10111111011 its reverse (11011111101), we get a palindrome (21122222112).

The spelling of 10111111011 in words is "ten billion, one hundred eleven million, one hundred eleven thousand, eleven".