10111011111011 has 4 divisors (see below), whose sum is σ = 10111111586112. Its totient is φ = 10110910635912.

The previous prime is 10111011110983. The next prime is 10111011111017. The reversal of 10111011111011 is 11011111011101.

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 10111011111011 - 2³⁸ = 9836133204067 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10111011110983 and 10111011111001.

It is not an unprimeable number, because it can be changed into a prime (10111011111017) 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 3 ways as a sum of consecutive naturals, for example, 50086451 + ... + 50287916.

It is an arithmetic number, because the mean of its divisors is an integer number (2527777896528).

Almost surely, 2^{10111011111011} is an apocalyptic number.

10111011111011 is a deficient number, since it is larger than the sum of its proper divisors (100475101).

10111011111011 is a wasteful number, since it uses less digits than its factorization.

10111011111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100475100.

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

Adding to 10111011111011 its reverse (11011111011101), we get a palindrome (21122122122112).

It can be divided in two parts, 101 and 11011111011, that multiplied together give a palindrome (1112122212111).

The spelling of 10111011111011 in words is "ten trillion, one hundred eleven billion, eleven million, one hundred eleven thousand, eleven".