111112121 has 2 divisors, whose sum is σ = 111112122. Its totient is φ = 111112120.

The previous prime is 111112087. The next prime is 111112181. The reversal of 111112121 is 121211111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100801600 + 10310521 = 10040^2 + 3211^2 .

It is a cyclic number.

It is not a de Polignac number, because 111112121 - 2¹⁴ = 111095737 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (111112181) 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 as a sum of consecutive naturals, namely, 55556060 + 55556061.

It is an arithmetic number, because the mean of its divisors is an integer number (55556061).

Almost surely, 2^111112121 is an apocalyptic number.

It is an amenable number.

111112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

111112121 is an equidigital number, since it uses as much as digits as its factorization.

111112121 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 111112121 is about 10540.9734370218. The cubic root of 111112121 is about 480.7513132765.

Adding to 111112121 its reverse (121211111), we get a palindrome (232323232).

It can be divided in two parts, 1111 and 12121, that multiplied together give a palindrome (13466431).

The spelling of 111112121 in words is "one hundred eleven million, one hundred twelve thousand, one hundred twenty-one".