21220221302001 has 12 divisors (see below), whose sum is σ = 30651663773380. Its totient is φ = 14146706661120.

The previous prime is 21220221301991. The next prime is 21220221302009. The reversal of 21220221302001 is 10020312202212.

21220221302001 is a `hidden beast` number, since 21 + 220 + 221 + 3 + 0 + 200 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3202310250000 + 18017911052001 = 1789500^2 + 4244751^2 .

It is not a de Polignac number, because 21220221302001 - 2⁵ = 21220221301969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21220221302009) 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 11 ways as a sum of consecutive naturals, for example, 7702660 + ... + 10088181.

Almost surely, 2^{21220221302001} is an apocalyptic number.

It is an amenable number.

21220221302001 is a deficient number, since it is larger than the sum of its proper divisors (9431442471379).

21220221302001 is a wasteful number, since it uses less digits than its factorization.

21220221302001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17923376 (or 17923373 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21220221302001 its reverse (10020312202212), we get a palindrome (31240533504213).

The spelling of 21220221302001 in words is "twenty-one trillion, two hundred twenty billion, two hundred twenty-one million, three hundred two thousand, one".