10011111111011 has 16 divisors (see below), whose sum is σ = 10800519912000. Its totient is φ = 9243999418368.

The previous prime is 10011111110989. The next prime is 10011111111013. The reversal of 10011111111011 is 11011111111001.

10011111111011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10011111111011 - 2⁶ = 10011111110947 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011111110983 and 10011111111001.

It is not an unprimeable number, because it can be changed into a prime (10011111111013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19249130 + ... + 19762368.

It is an arithmetic number, because the mean of its divisors is an integer number (675032494500).

Almost surely, 2^{10011111111011} is an apocalyptic number.

10011111111011 is a deficient number, since it is larger than the sum of its proper divisors (789408800989).

10011111111011 is a wasteful number, since it uses less digits than its factorization.

10011111111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534958.

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

Adding to 10011111111011 its reverse (11011111111001), we get a palindrome (21022222222012).

It can be divided in two parts, 100 and 11111111011, that added together give a palindrome (11111111111).

The spelling of 10011111111011 in words is "ten trillion, eleven billion, one hundred eleven million, one hundred eleven thousand, eleven".