2210212110121 has 2 divisors, whose sum is σ = 2210212110122. Its totient is φ = 2210212110120.

The previous prime is 2210212110091. The next prime is 2210212110149. The reversal of 2210212110121 is 1210112120122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1543272021225 + 666940088896 = 1242285^2 + 816664^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210212110121 - 2⁷ = 2210212109993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2210212110095 and 2210212110104.

It is not a weakly prime, because it can be changed into another prime (2210212110151) 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, 1105106055060 + 1105106055061.

It is an arithmetic number, because the mean of its divisors is an integer number (1105106055061).

Almost surely, 2^{2210212110121} is an apocalyptic number.

It is an amenable number.

2210212110121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210212110121 is an equidigital number, since it uses as much as digits as its factorization.

2210212110121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2210212110121 its reverse (1210112120122), we get a palindrome (3420324230243).

The spelling of 2210212110121 in words is "two trillion, two hundred ten billion, two hundred twelve million, one hundred ten thousand, one hundred twenty-one".