21221122210211 has 72 divisors (see below), whose sum is σ = 28734910807680. Its totient is φ = 15560625400320.

The previous prime is 21221122210139. The next prime is 21221122210213. The reversal of 21221122210211 is 11201222112212.

It is not a de Polignac number, because 21221122210211 - 2³⁰ = 21220048468387 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21221122210213) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 764904206 + ... + 764931948.

It is an arithmetic number, because the mean of its divisors is an integer number (399095983440).

Almost surely, 2^{21221122210211} is an apocalyptic number.

21221122210211 is a deficient number, since it is larger than the sum of its proper divisors (7513788597469).

21221122210211 is a wasteful number, since it uses less digits than its factorization.

21221122210211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35385 (or 35367 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 21221122210211 its reverse (11201222112212), we get a palindrome (32422344322423).

It can be divided in two parts, 212211 and 22210211, that added together give a palindrome (22422422).

The spelling of 21221122210211 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred ten thousand, two hundred eleven".