212111211121 has 2 divisors, whose sum is σ = 212111211122. Its totient is φ = 212111211120.

The previous prime is 212111211089. The next prime is 212111211131. The reversal of 212111211121 is 121112111212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190214610496 + 21896600625 = 436136^2 + 147975^2 .

It is a cyclic number.

It is not a de Polignac number, because 212111211121 - 2⁵ = 212111211089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212111211095 and 212111211104.

It is not a weakly prime, because it can be changed into another prime (212111211131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106055605560 + 106055605561.

It is an arithmetic number, because the mean of its divisors is an integer number (106055605561).

Almost surely, 2^212111211121 is an apocalyptic number.

It is an amenable number.

212111211121 is a deficient number, since it is larger than the sum of its proper divisors (1).

212111211121 is an equidigital number, since it uses as much as digits as its factorization.

212111211121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 212111211121 its reverse (121112111212), we get a palindrome (333223322333).

Subtracting from 212111211121 its reverse (121112111212), we obtain a palindrome (90999099909).

It can be divided in two parts, 2 and 12111211121, that multiplied together give a palindrome (24222422242).

The spelling of 212111211121 in words is "two hundred twelve billion, one hundred eleven million, two hundred eleven thousand, one hundred twenty-one".