2121100120211 has 24 divisors (see below), whose sum is σ = 2229800583360. Its totient is φ = 2017490965776.

The previous prime is 2121100120207. The next prime is 2121100120231. The reversal of 2121100120211 is 1120210011212.

It is not a de Polignac number, because 2121100120211 - 2² = 2121100120207 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2121100120231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103141016 + ... + 103161578.

It is an arithmetic number, because the mean of its divisors is an integer number (92908357640).

Almost surely, 2^{2121100120211} is an apocalyptic number.

2121100120211 is a deficient number, since it is larger than the sum of its proper divisors (108700463149).

2121100120211 is a wasteful number, since it uses less digits than its factorization.

2121100120211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21695 (or 21672 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2121100120211 its reverse (1120210011212), we get a palindrome (3241310131423).

The spelling of 2121100120211 in words is "two trillion, one hundred twenty-one billion, one hundred million, one hundred twenty thousand, two hundred eleven".