221101221111111 has 24 divisors (see below), whose sum is σ = 366738867555840. Its totient is φ = 126948069536400.

The previous prime is 221101221111109. The next prime is 221101221111167. The reversal of 221101221111111 is 111111122101122.

221101221111111 is a `hidden beast` number, since 221 + 1 + 0 + 1 + 221 + 111 + 111 = 666.

It is not a de Polignac number, because 221101221111111 - 2¹ = 221101221111109 is a prime.

It is a super-3 number, since 3×221101221111111³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221101221112111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58772252535 + ... + 58772256296.

It is an arithmetic number, because the mean of its divisors is an integer number (15280786148160).

Almost surely, 2^{221101221111111} is an apocalyptic number.

221101221111111 is a deficient number, since it is larger than the sum of its proper divisors (145637646444729).

221101221111111 is a wasteful number, since it uses less digits than its factorization.

221101221111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117544508867 (or 117544508864 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 221101221111111 its reverse (111111122101122), we get a palindrome (332212343212233).

The spelling of 221101221111111 in words is "two hundred twenty-one trillion, one hundred one billion, two hundred twenty-one million, one hundred eleven thousand, one hundred eleven".