2121210120211 has 16 divisors (see below), whose sum is σ = 2700744984000. Its totient is φ = 1620446986368.

The previous prime is 2121210120191. The next prime is 2121210120223. The reversal of 2121210120211 is 1120210121212.

It is a de Polignac number, because none of the positive numbers 2^k-2121210120211 is a prime.

It is a super-3 number, since 3×2121210120211³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2121210120811) 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, 401893936 + ... + 401899213.

It is an arithmetic number, because the mean of its divisors is an integer number (168796561500).

Almost surely, 2^{2121210120211} is an apocalyptic number.

2121210120211 is a deficient number, since it is larger than the sum of its proper divisors (579534863789).

2121210120211 is a wasteful number, since it uses less digits than its factorization.

2121210120211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803793198.

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

Adding to 2121210120211 its reverse (1120210121212), we get a palindrome (3241420241423).

The spelling of 2121210120211 in words is "two trillion, one hundred twenty-one billion, two hundred ten million, one hundred twenty thousand, two hundred eleven".