111101220220221 has 288 divisors, whose sum is σ = 210496854522240. Its totient is φ = 55803318681600.

The previous prime is 111101220220187. The next prime is 111101220220223. The reversal of 111101220220221 is 122022022101111.

111101220220221 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 0 + 1 + 220 + 220 + 221 = 666.

It is not a de Polignac number, because 111101220220221 - 2⁷ = 111101220220093 is a prime.

It is a super-2 number, since 2×111101220220221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111101220220194 and 111101220220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111101220220223) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22180316965 + ... + 22180321973.

It is an arithmetic number, because the mean of its divisors is an integer number (730891855980).

Almost surely, 2^{111101220220221} is an apocalyptic number.

111101220220221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111101220220221 is a deficient number, since it is larger than the sum of its proper divisors (99395634302019).

111101220220221 is a wasteful number, since it uses less digits than its factorization.

111101220220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6137 (or 6127 counting only the distinct ones).

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

Adding to 111101220220221 its reverse (122022022101111), we get a palindrome (233123242321332).

The spelling of 111101220220221 in words is "one hundred eleven trillion, one hundred one billion, two hundred twenty million, two hundred twenty thousand, two hundred twenty-one".