21211120010221 has 16 divisors (see below), whose sum is σ = 21299865237504. Its totient is φ = 21122565816384.

The previous prime is 21211120010177. The next prime is 21211120010279. The reversal of 21211120010221 is 12201002111212.

It is a cyclic number.

It is not a de Polignac number, because 21211120010221 - 2²⁵ = 21211086455789 is a prime.

It is a super-2 number, since 2×21211120010221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21211120010195 and 21211120010204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211120016221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1183449166 + ... + 1183467088.

It is an arithmetic number, because the mean of its divisors is an integer number (1331241577344).

Almost surely, 2^{21211120010221} is an apocalyptic number.

It is an amenable number.

21211120010221 is a deficient number, since it is larger than the sum of its proper divisors (88745227283).

21211120010221 is a wasteful number, since it uses less digits than its factorization.

21211120010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22980.

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

Adding to 21211120010221 its reverse (12201002111212), we get a palindrome (33412122121433).

The spelling of 21211120010221 in words is "twenty-one trillion, two hundred eleven billion, one hundred twenty million, ten thousand, two hundred twenty-one".