122111111221 has 8 divisors (see below), whose sum is σ = 133268097888. Its totient is φ = 110963454000.

The previous prime is 122111111149. The next prime is 122111111257.

122111111221 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122111111221 - 2¹¹ = 122111109173 is a prime.

It is a super-2 number, since 2×122111111221² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122111111195 and 122111111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111111281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2304975 + ... + 2357356.

It is an arithmetic number, because the mean of its divisors is an integer number (16658512236).

Almost surely, 2^122111111221 is an apocalyptic number.

122111111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122111111221 is a deficient number, since it is larger than the sum of its proper divisors (11156986667).

122111111221 is a wasteful number, since it uses less digits than its factorization.

122111111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664723.

The product of its digits is 16, while the sum is 16.

It can be divided in two parts, 122111 and 111221, that added together give a palindrome (233332).

The spelling of 122111111221 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred eleven thousand, two hundred twenty-one".