11221101211111 has 16 divisors (see below), whose sum is σ = 12885868195200. Its totient is φ = 9663811466400.

The previous prime is 11221101211087. The next prime is 11221101211127. The reversal of 11221101211111 is 11111210112211.

It is a cyclic number.

It is not a de Polignac number, because 11221101211111 - 2¹⁷ = 11221101080039 is a prime.

It is a super-3 number, since 3×11221101211111³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221101221111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6191080 + ... + 7795618.

It is an arithmetic number, because the mean of its divisors is an integer number (805366762200).

Almost surely, 2^{11221101211111} is an apocalyptic number.

11221101211111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11221101211111 is a deficient number, since it is larger than the sum of its proper divisors (1664766984089).

11221101211111 is a wasteful number, since it uses less digits than its factorization.

11221101211111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638030.

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

Adding to 11221101211111 its reverse (11111210112211), we get a palindrome (22332311323322).

The spelling of 11221101211111 in words is "eleven trillion, two hundred twenty-one billion, one hundred one million, two hundred eleven thousand, one hundred eleven".