2122122122011 has 2 divisors, whose sum is σ = 2122122122012. Its totient is φ = 2122122122010.

The previous prime is 2122122122009. The next prime is 2122122122069. The reversal of 2122122122011 is 1102212212212.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2122122122011 - 2¹ = 2122122122009 is a prime.

Together with 2122122122009, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 2122122122011.

It is not a weakly prime, because it can be changed into another prime (2122122122711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061061061005 + 1061061061006.

It is an arithmetic number, because the mean of its divisors is an integer number (1061061061006).

Almost surely, 2^{2122122122011} is an apocalyptic number.

2122122122011 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122122122011 is an equidigital number, since it uses as much as digits as its factorization.

2122122122011 is an evil number, because the sum of its binary digits is even.

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

Adding to 2122122122011 its reverse (1102212212212), we get a palindrome (3224334334223).

The spelling of 2122122122011 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, eleven".