222120221002117 has 2 divisors, whose sum is σ = 222120221002118. Its totient is φ = 222120221002116.

The previous prime is 222120221002073. The next prime is 222120221002153. The reversal of 222120221002117 is 711200122021222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 222080750835876 + 39470166241 = 14902374^2 + 198671^2 .

It is a cyclic number.

It is not a de Polignac number, because 222120221002117 - 2¹⁹ = 222120220477829 is a prime.

It is a super-3 number, since 3×222120221002117³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222120221002091 and 222120221002100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222120221002817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111060110501058 + 111060110501059.

It is an arithmetic number, because the mean of its divisors is an integer number (111060110501059).

Almost surely, 2^{222120221002117} is an apocalyptic number.

It is an amenable number.

222120221002117 is a deficient number, since it is larger than the sum of its proper divisors (1).

222120221002117 is an equidigital number, since it uses as much as digits as its factorization.

222120221002117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 896, while the sum is 25.

Adding to 222120221002117 its reverse (711200122021222), we get a palindrome (933320343023339).

The spelling of 222120221002117 in words is "two hundred twenty-two trillion, one hundred twenty billion, two hundred twenty-one million, two thousand, one hundred seventeen".