1111122211111 has 48 divisors (see below), whose sum is σ = 1259569239264. Its totient is φ = 979102080000.

The previous prime is 1111122211109. The next prime is 1111122211141.

1111122211111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1111122211111 - 2¹ = 1111122211109 is a prime.

It is a Duffinian number.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111122211141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122217676 + ... + 122226766.

It is an arithmetic number, because the mean of its divisors is an integer number (26241025818).

Almost surely, 2^{1111122211111} is an apocalyptic number.

1111122211111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1111122211111 is a deficient number, since it is larger than the sum of its proper divisors (148447028153).

1111122211111 is a wasteful number, since it uses less digits than its factorization.

1111122211111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9424 (or 9413 counting only the distinct ones).

The product of its digits is 8, while the sum is 16.

It can be divided in two parts, 11111 and 22211111, that added together give a palindrome (22222222).

The spelling of 1111122211111 in words is "one trillion, one hundred eleven billion, one hundred twenty-two million, two hundred eleven thousand, one hundred eleven".