11101112112211 has 48 divisors (see below), whose sum is σ = 12803588915040. Its totient is φ = 9543726720000.

The previous prime is 11101112112179. The next prime is 11101112112221. The reversal of 11101112112211 is 11221121110111.

It is not a de Polignac number, because 11101112112211 - 2⁵ = 11101112112179 is a prime.

It is a super-3 number, since 3×11101112112211³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11101112112221) 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 47 ways as a sum of consecutive naturals, for example, 416679451 + ... + 416706091.

It is an arithmetic number, because the mean of its divisors is an integer number (266741435730).

Almost surely, 2^{11101112112211} is an apocalyptic number.

11101112112211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11101112112211 is a deficient number, since it is larger than the sum of its proper divisors (1702476802829).

11101112112211 is a wasteful number, since it uses less digits than its factorization.

11101112112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27508 (or 27485 counting only the distinct ones).

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

Adding to 11101112112211 its reverse (11221121110111), we get a palindrome (22322233222322).

The spelling of 11101112112211 in words is "eleven trillion, one hundred one billion, one hundred twelve million, one hundred twelve thousand, two hundred eleven".