21221102221101 has 24 divisors (see below), whose sum is σ = 33332987281464. Its totient is φ = 12955331082240.

The previous prime is 21221102221073. The next prime is 21221102221133. The reversal of 21221102221101 is 10112220112212.

21221102221101 is a `hidden beast` number, since 21 + 221 + 102 + 221 + 101 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5198974575876 + 16022127645225 = 2280126^2 + 4002765^2 .

It is not a de Polignac number, because 21221102221101 - 2⁵ = 21221102221069 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221102221141) 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 23 ways as a sum of consecutive naturals, for example, 1874318860 + ... + 1874330181.

It is an arithmetic number, because the mean of its divisors is an integer number (1388874470061).

Almost surely, 2^{21221102221101} is an apocalyptic number.

It is an amenable number.

21221102221101 is a deficient number, since it is larger than the sum of its proper divisors (12111885060363).

21221102221101 is a wasteful number, since it uses less digits than its factorization.

21221102221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748649101 (or 3748649098 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21221102221101 its reverse (10112220112212), we get a palindrome (31333322333313).

The spelling of 21221102221101 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred two million, two hundred twenty-one thousand, one hundred one".