21221002122211 has 16 divisors (see below), whose sum is σ = 22555433444544. Its totient is φ = 19896146325504.

The previous prime is 21221002122193. The next prime is 21221002122217. The reversal of 21221002122211 is 11222120012212.

It is a cyclic number.

It is not a de Polignac number, because 21221002122211 - 2³³ = 21212412187619 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21221002122217) 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, 210699181 + ... + 210799873.

It is an arithmetic number, because the mean of its divisors is an integer number (1409714590284).

Almost surely, 2^{21221002122211} is an apocalyptic number.

21221002122211 is a deficient number, since it is larger than the sum of its proper divisors (1334431322333).

21221002122211 is a wasteful number, since it uses less digits than its factorization.

21221002122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148110.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 21221002122211 its reverse (11222120012212), we get a palindrome (32443122134423).

The spelling of 21221002122211 in words is "twenty-one trillion, two hundred twenty-one billion, two million, one hundred twenty-two thousand, two hundred eleven".