111221121100221 has 48 divisors (see below), whose sum is σ = 175615968108672. Its totient is φ = 67268892355200.

The previous prime is 111221121100183. The next prime is 111221121100241. The reversal of 111221121100221 is 122001121122111.

It is a happy number.

111221121100221 is a `hidden beast` number, since 1 + 1 + 1 + 221 + 121 + 100 + 221 = 666.

It is not a de Polignac number, because 111221121100221 - 2¹⁰ = 111221121099197 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 111221121100194 and 111221121100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111221121100241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1044737631 + ... + 1044844083.

It is an arithmetic number, because the mean of its divisors is an integer number (3658666002264).

Almost surely, 2^{111221121100221} is an apocalyptic number.

111221121100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111221121100221 is a deficient number, since it is larger than the sum of its proper divisors (64394847008451).

111221121100221 is a wasteful number, since it uses less digits than its factorization.

111221121100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127954 (or 127951 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 111221121100221 its reverse (122001121122111), we get a palindrome (233222242222332).

The spelling of 111221121100221 in words is "one hundred eleven trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred thousand, two hundred twenty-one".