201221000002117 has 2 divisors, whose sum is σ = 201221000002118. Its totient is φ = 201221000002116.

The previous prime is 201221000002103. The next prime is 201221000002129. The reversal of 201221000002117 is 711200000122102.

201221000002117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 166479512457636 + 34741487544481 = 12902694^2 + 5894191^2 .

It is a cyclic number.

It is not a de Polignac number, because 201221000002117 - 2¹⁹ = 201220999477829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201221000002094 and 201221000002103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201221000002817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100610500001058 + 100610500001059.

It is an arithmetic number, because the mean of its divisors is an integer number (100610500001059).

Almost surely, 2^{201221000002117} is an apocalyptic number.

It is an amenable number.

201221000002117 is a deficient number, since it is larger than the sum of its proper divisors (1).

201221000002117 is an equidigital number, since it uses as much as digits as its factorization.

201221000002117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 201221000002117 its reverse (711200000122102), we get a palindrome (912421000124219).

The spelling of 201221000002117 in words is "two hundred one trillion, two hundred twenty-one billion, two thousand, one hundred seventeen".