2121113102211 has 12 divisors (see below), whose sum is σ = 3115759359960. Its totient is φ = 1390108021440.

The previous prime is 2121113102203. The next prime is 2121113102261. The reversal of 2121113102211 is 1122013111212.

It is a happy number.

2121113102211 is a `hidden beast` number, since 2 + 121 + 11 + 310 + 221 + 1 = 666.

It is not a de Polignac number, because 2121113102211 - 2³ = 2121113102203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2121113102261) 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 11 ways as a sum of consecutive naturals, for example, 1997281110 + ... + 1997282171.

It is an arithmetic number, because the mean of its divisors is an integer number (259646613330).

Almost surely, 2^{2121113102211} is an apocalyptic number.

2121113102211 is a deficient number, since it is larger than the sum of its proper divisors (994646257749).

2121113102211 is a wasteful number, since it uses less digits than its factorization.

2121113102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994563346 (or 3994563343 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 2121113102211 its reverse (1122013111212), we get a palindrome (3243126213423).

Subtracting from 2121113102211 its reverse (1122013111212), we obtain a palindrome (999099990999).

The spelling of 2121113102211 in words is "two trillion, one hundred twenty-one billion, one hundred thirteen million, one hundred two thousand, two hundred eleven".