11111121111011 has 16 divisors (see below), whose sum is σ = 11355895872864. Its totient is φ = 10868994192384.

The previous prime is 11111121110989. The next prime is 11111121111019. The reversal of 11111121111011 is 11011112111111.

It is not a de Polignac number, because 11111121111011 - 2³⁸ = 10836243204067 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11111121111019) 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, 10464716 + ... + 11477478.

It is an arithmetic number, because the mean of its divisors is an integer number (709743492054).

Almost surely, 2^{11111121111011} is an apocalyptic number.

11111121111011 is a deficient number, since it is larger than the sum of its proper divisors (244774761853).

11111121111011 is a wasteful number, since it uses less digits than its factorization.

11111121111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014070.

The product of its (nonzero) digits is 2, while the sum is 14.

Adding to 11111121111011 its reverse (11011112111111), we get a palindrome (22122233222122).

The spelling of 11111121111011 in words is "eleven trillion, one hundred eleven billion, one hundred twenty-one million, one hundred eleven thousand, eleven".