2122212222121 has 2 divisors, whose sum is σ = 2122212222122. Its totient is φ = 2122212222120.

The previous prime is 2122212222107. The next prime is 2122212222133. The reversal of 2122212222121 is 1212222122212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1870709972121 + 251502250000 = 1367739^2 + 501500^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122212222121 - 2¹³ = 2122212213929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122212222092 and 2122212222101.

It is not a weakly prime, because it can be changed into another prime (2122212222161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061106111060 + 1061106111061.

It is an arithmetic number, because the mean of its divisors is an integer number (1061106111061).

Almost surely, 2^{2122212222121} is an apocalyptic number.

It is an amenable number.

2122212222121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122212222121 is an equidigital number, since it uses as much as digits as its factorization.

2122212222121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 512, while the sum is 22.

Adding to 2122212222121 its reverse (1212222122212), we get a palindrome (3334434344333).

Subtracting from 2122212222121 its reverse (1212222122212), we obtain a palindrome (909990099909).

It can be divided in two parts, 212221 and 2222121, that added together give a palindrome (2434342).

The spelling of 2122212222121 in words is "two trillion, one hundred twenty-two billion, two hundred twelve million, two hundred twenty-two thousand, one hundred twenty-one".