11101122110111 has 8 divisors (see below), whose sum is σ = 12111647259648. Its totient is φ = 10090818999000.

The previous prime is 11101122110083. The next prime is 11101122110119.

11101122110111 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11101122110111 - 2¹⁴ = 11101122093727 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101122110119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55405055 + ... + 55605056.

It is an arithmetic number, because the mean of its divisors is an integer number (1513955907456).

Almost surely, 2^{11101122110111} is an apocalyptic number.

11101122110111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11101122110111 is a deficient number, since it is larger than the sum of its proper divisors (1010525149537).

11101122110111 is a wasteful number, since it uses less digits than its factorization.

11101122110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111019213.

The product of its (nonzero) digits is 4, while the sum is 14.

It can be divided in two parts, 1110112 and 2110111, that multiplied together give a palindrome (2342459542432).

The spelling of 11101122110111 in words is "eleven trillion, one hundred one billion, one hundred twenty-two million, one hundred ten thousand, one hundred eleven".