21214064325221 has 2 divisors, whose sum is σ = 21214064325222. Its totient is φ = 21214064325220.

The previous prime is 21214064325161. The next prime is 21214064325281. The reversal of 21214064325221 is 12252346041212.

It is a balanced prime because it is at equal distance from previous prime (21214064325161) and next prime (21214064325281).

It can be written as a sum of positive squares in only one way, i.e., 18700694824900 + 2513369500321 = 4324430^2 + 1585361^2 .

It is a cyclic number.

It is not a de Polignac number, because 21214064325221 - 2³⁸ = 20939186418277 is a prime.

It is a super-3 number, since 3×21214064325221³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21214064325281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10607032162610 + 10607032162611.

It is an arithmetic number, because the mean of its divisors is an integer number (10607032162611).

Almost surely, 2^{21214064325221} is an apocalyptic number.

It is an amenable number.

21214064325221 is a deficient number, since it is larger than the sum of its proper divisors (1).

21214064325221 is an equidigital number, since it uses as much as digits as its factorization.

21214064325221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 21214064325221 in words is "twenty-one trillion, two hundred fourteen billion, sixty-four million, three hundred twenty-five thousand, two hundred twenty-one".