2122212120211 has 16 divisors (see below), whose sum is σ = 2168444510208. Its totient is φ = 2076503342400.

The previous prime is 2122212120113. The next prime is 2122212120233. The reversal of 2122212120211 is 1120212122212.

It is a cyclic number.

It is not a de Polignac number, because 2122212120211 - 2¹³ = 2122212112019 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2122212120811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4909716 + ... + 5324446.

It is an arithmetic number, because the mean of its divisors is an integer number (135527781888).

Almost surely, 2^{2122212120211} is an apocalyptic number.

2122212120211 is a deficient number, since it is larger than the sum of its proper divisors (46232389997).

2122212120211 is a wasteful number, since it uses less digits than its factorization.

2122212120211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415362.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 2122212120211 its reverse (1120212122212), we get a palindrome (3242424242423).

The spelling of 2122212120211 in words is "two trillion, one hundred twenty-two billion, two hundred twelve million, one hundred twenty thousand, two hundred eleven".