11102222220111 has 96 divisors (see below), whose sum is σ = 18927838425600. Its totient is φ = 6197291907840.

The previous prime is 11102222220079. The next prime is 11102222220113.

11102222220111 is a `hidden beast` number, since 1 + 110 + 2 + 222 + 220 + 111 = 666.

11102222220111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11102222220111 - 2⁵ = 11102222220079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102222220113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88812910 + ... + 88937828.

It is an arithmetic number, because the mean of its divisors is an integer number (197164983600).

Almost surely, 2^{11102222220111} is an apocalyptic number.

11102222220111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11102222220111 is a deficient number, since it is larger than the sum of its proper divisors (7825616205489).

11102222220111 is a wasteful number, since it uses less digits than its factorization.

11102222220111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126269 (or 126266 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 1110222 and 2220111, that added together give a palindrome (3330333).

The spelling of 11102222220111 in words is "eleven trillion, one hundred two billion, two hundred twenty-two million, two hundred twenty thousand, one hundred eleven".