111100211331221 has 32 divisors (see below), whose sum is σ = 133326129807360. Its totient is φ = 90593838806400.

The previous prime is 111100211331167. The next prime is 111100211331233. The reversal of 111100211331221 is 122133112001111.

It is a cyclic number.

It is not a de Polignac number, because 111100211331221 - 2¹⁸ = 111100211069077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111100211331193 and 111100211331202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111100211331251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11540711 + ... + 18851748.

It is an arithmetic number, because the mean of its divisors is an integer number (4166441556480).

Almost surely, 2^{111100211331221} is an apocalyptic number.

It is an amenable number.

111100211331221 is a deficient number, since it is larger than the sum of its proper divisors (22225918476139).

111100211331221 is a wasteful number, since it uses less digits than its factorization.

111100211331221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30392825.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 111100211331221 its reverse (122133112001111), we get a palindrome (233233323332332).

The spelling of 111100211331221 in words is "one hundred eleven trillion, one hundred billion, two hundred eleven million, three hundred thirty-one thousand, two hundred twenty-one".