11121111211011 has 16 divisors (see below), whose sum is σ = 14872734774144. Its totient is φ = 7391782629504.

The previous prime is 11121111210991. The next prime is 11121111211037. The reversal of 11121111211011 is 11011211112111.

It is a happy number.

It is not a de Polignac number, because 11121111211011 - 2¹⁰ = 11121111209987 is a prime.

It is a super-2 number, since 2×11121111211011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11121111218011) 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 15 ways as a sum of consecutive naturals, for example, 27161536 + ... + 27567938.

It is an arithmetic number, because the mean of its divisors is an integer number (929545923384).

Almost surely, 2^{11121111211011} is an apocalyptic number.

11121111211011 is a deficient number, since it is larger than the sum of its proper divisors (3751623563133).

11121111211011 is a wasteful number, since it uses less digits than its factorization.

11121111211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433810.

The product of its (nonzero) digits is 4, while the sum is 15.

Adding to 11121111211011 its reverse (11011211112111), we get a palindrome (22132322323122).

The spelling of 11121111211011 in words is "eleven trillion, one hundred twenty-one billion, one hundred eleven million, two hundred eleven thousand, eleven".