111001222120221 has 64 divisors (see below), whose sum is σ = 171006551654400. Its totient is φ = 71105416099200.

The previous prime is 111001222120207. The next prime is 111001222120223. The reversal of 111001222120221 is 122021222100111.

111001222120221 is a `hidden beast` number, since 1 + 1 + 100 + 1 + 222 + 120 + 221 = 666.

It is not a de Polignac number, because 111001222120221 - 2¹⁵ = 111001222087453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111001222120194 and 111001222120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111001222120223) 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 63 ways as a sum of consecutive naturals, for example, 75273060 + ... + 76733538.

It is an arithmetic number, because the mean of its divisors is an integer number (2671977369600).

Almost surely, 2^{111001222120221} is an apocalyptic number.

It is an amenable number.

111001222120221 is a deficient number, since it is larger than the sum of its proper divisors (60005329534179).

111001222120221 is a wasteful number, since it uses less digits than its factorization.

111001222120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461567 (or 1461561 counting only the distinct ones).

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

Adding to 111001222120221 its reverse (122021222100111), we get a palindrome (233022444220332).

The spelling of 111001222120221 in words is "one hundred eleven trillion, one billion, two hundred twenty-two million, one hundred twenty thousand, two hundred twenty-one".