2121221110211 has 24 divisors (see below), whose sum is σ = 2476956080880. Its totient is φ = 1811256213312.

The previous prime is 2121221110163. The next prime is 2121221110243. The reversal of 2121221110211 is 1120111221212.

It is not a de Polignac number, because 2121221110211 - 2²⁶ = 2121154001347 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2121221110211.

It is not an unprimeable number, because it can be changed into a prime (2121221110271) 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 23 ways as a sum of consecutive naturals, for example, 82144460 + ... + 82170278.

It is an arithmetic number, because the mean of its divisors is an integer number (103206503370).

Almost surely, 2^{2121221110211} is an apocalyptic number.

2121221110211 is a deficient number, since it is larger than the sum of its proper divisors (355734970669).

2121221110211 is a wasteful number, since it uses less digits than its factorization.

2121221110211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32163 (or 32156 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 2121221110211 its reverse (1120111221212), we get a palindrome (3241332331423).

The spelling of 2121221110211 in words is "two trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred ten thousand, two hundred eleven".