1112211112121 has 2 divisors, whose sum is σ = 1112211112122. Its totient is φ = 1112211112120.

The previous prime is 1112211112097. The next prime is 1112211112153. The reversal of 1112211112121 is 1212111122111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 804230510521 + 307980601600 = 896789^2 + 554960^2 .

It is a cyclic number.

It is not a de Polignac number, because 1112211112121 - 2¹⁰ = 1112211111097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1112211112121.

It is not a weakly prime, because it can be changed into another prime (1112211112421) 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, 556105556060 + 556105556061.

It is an arithmetic number, because the mean of its divisors is an integer number (556105556061).

Almost surely, 2^{1112211112121} is an apocalyptic number.

It is an amenable number.

1112211112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1112211112121 is an equidigital number, since it uses as much as digits as its factorization.

1112211112121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16, while the sum is 17.

Adding to 1112211112121 its reverse (1212111122111), we get a palindrome (2324322234232).

The spelling of 1112211112121 in words is "one trillion, one hundred twelve billion, two hundred eleven million, one hundred twelve thousand, one hundred twenty-one".