221223121322117 has 2 divisors, whose sum is σ = 221223121322118. Its totient is φ = 221223121322116.

The previous prime is 221223121322089. The next prime is 221223121322167. The reversal of 221223121322117 is 711223121322122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120587434275361 + 100635687046756 = 10981231^2 + 10031734^2 .

It is a cyclic number.

It is not a de Polignac number, because 221223121322117 - 2⁶ = 221223121322053 is a prime.

It is a super-3 number, since 3×221223121322117³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221223121322167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110611560661058 + 110611560661059.

It is an arithmetic number, because the mean of its divisors is an integer number (110611560661059).

Almost surely, 2^{221223121322117} is an apocalyptic number.

It is an amenable number.

221223121322117 is a deficient number, since it is larger than the sum of its proper divisors (1).

221223121322117 is an equidigital number, since it uses as much as digits as its factorization.

221223121322117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8064, while the sum is 32.

Adding to 221223121322117 its reverse (711223121322122), we get a palindrome (932446242644239).

The spelling of 221223121322117 in words is "two hundred twenty-one trillion, two hundred twenty-three billion, one hundred twenty-one million, three hundred twenty-two thousand, one hundred seventeen".