111100202212221 has 48 divisors (see below), whose sum is σ = 162732951678960. Its totient is φ = 73031000064000.

The previous prime is 111100202212171. The next prime is 111100202212357. The reversal of 111100202212221 is 122212202001111.

111100202212221 is a `hidden beast` number, since 111 + 100 + 20 + 2 + 212 + 221 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3521590028100 + 107578612184121 = 1876590^2 + 10372011^2 .

It is not a de Polignac number, because 111100202212221 - 2⁹ = 111100202211709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111100202212194 and 111100202212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111100202212921) 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 47 ways as a sum of consecutive naturals, for example, 421403281 + ... + 421666841.

It is an arithmetic number, because the mean of its divisors is an integer number (3390269826645).

Almost surely, 2^{111100202212221} is an apocalyptic number.

It is an amenable number.

111100202212221 is a deficient number, since it is larger than the sum of its proper divisors (51632749466739).

111100202212221 is a wasteful number, since it uses less digits than its factorization.

111100202212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265118 (or 265115 counting only the distinct ones).

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

Adding to 111100202212221 its reverse (122212202001111), we get a palindrome (233312404213332).

The spelling of 111100202212221 in words is "one hundred eleven trillion, one hundred billion, two hundred two million, two hundred twelve thousand, two hundred twenty-one".