122111111 has 2 divisors, whose sum is σ = 122111112. Its totient is φ = 122111110.

The previous prime is 122111089. The next prime is 122111131. The reversal of 122111111 is 111111221.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 122111111 - 2¹⁸ = 121848967 is a prime.

It is a super-2 number, since 2×122111111² = 29822246859308642, which contains 22 as substring.

It is a Chen prime.

122111111 is a modest number, since divided by 11111 gives 1221 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 122111092 and 122111101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122111131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055555 + 61055556.

It is an arithmetic number, because the mean of its divisors is an integer number (61055556).

Almost surely, 2^122111111 is an apocalyptic number.

122111111 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111111 is an equidigital number, since it uses as much as digits as its factorization.

122111111 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4, while the sum is 11.

The square root of 122111111 is about 11050.3896311397. The cubic root of 122111111 is about 496.1180875075.

Adding to 122111111 its reverse (111111221), we get a palindrome (233222332).

It can be divided in two parts, 1221 and 11111, that multiplied together give a palindrome (13566531).

The spelling of 122111111 in words is "one hundred twenty-two million, one hundred eleven thousand, one hundred eleven".