10011011111111 has 4 divisors (see below), whose sum is σ = 10446272463792. Its totient is φ = 9575749758432.

The previous prime is 10011011111107. The next prime is 10011011111117. The reversal of 10011011111111 is 11111111011001.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10011011111111 - 2² = 10011011111107 is a prime.

It is a Duffinian number.

10011011111111 is a modest number, since divided by 1111111 gives 1001101 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10011011111092 and 10011011111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011011111117) 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 3 ways as a sum of consecutive naturals, for example, 217630676306 + ... + 217630676351.

It is an arithmetic number, because the mean of its divisors is an integer number (2611568115948).

Almost surely, 2^{10011011111111} is an apocalyptic number.

10011011111111 is a deficient number, since it is larger than the sum of its proper divisors (435261352681).

10011011111111 is an equidigital number, since it uses as much as digits as its factorization.

10011011111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435261352680.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 10011011111111 its reverse (11111111011001), we get a palindrome (21122122122112).

The spelling of 10011011111111 in words is "ten trillion, eleven billion, eleven million, one hundred eleven thousand, one hundred eleven".