21202101002221 has 2 divisors, whose sum is σ = 21202101002222. Its totient is φ = 21202101002220.

The previous prime is 21202101002197. The next prime is 21202101002237. The reversal of 21202101002221 is 12220010120212.

It is a happy number.

It is an a-pointer prime, because the next prime (21202101002237) can be obtained adding 21202101002221 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19054220232996 + 2147880769225 = 4365114^2 + 1465565^2 .

It is a cyclic number.

It is not a de Polignac number, because 21202101002221 - 2⁵ = 21202101002189 is a prime.

It is a super-3 number, since 3×21202101002221³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21202101002195 and 21202101002204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21202101002321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10601050501110 + 10601050501111.

It is an arithmetic number, because the mean of its divisors is an integer number (10601050501111).

Almost surely, 2^{21202101002221} is an apocalyptic number.

It is an amenable number.

21202101002221 is a deficient number, since it is larger than the sum of its proper divisors (1).

21202101002221 is an equidigital number, since it uses as much as digits as its factorization.

21202101002221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21202101002221 its reverse (12220010120212), we get a palindrome (33422111122433).

The spelling of 21202101002221 in words is "twenty-one trillion, two hundred two billion, one hundred one million, two thousand, two hundred twenty-one".