221000122117 has 2 divisors, whose sum is σ = 221000122118. Its totient is φ = 221000122116.

The previous prime is 221000122097. The next prime is 221000122127. The reversal of 221000122117 is 711221000122.

221000122117 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., 155590013601 + 65410108516 = 394449^2 + 255754^2 .

It is a cyclic number.

It is not a de Polignac number, because 221000122117 - 2⁷ = 221000121989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221000122094 and 221000122103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221000122127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110500061058 + 110500061059.

It is an arithmetic number, because the mean of its divisors is an integer number (110500061059).

Almost surely, 2^221000122117 is an apocalyptic number.

It is an amenable number.

221000122117 is a deficient number, since it is larger than the sum of its proper divisors (1).

221000122117 is an equidigital number, since it uses as much as digits as its factorization.

221000122117 is an odious number, because the sum of its binary digits is odd.

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

Adding to 221000122117 its reverse (711221000122), we get a palindrome (932221122239).

The spelling of 221000122117 in words is "two hundred twenty-one billion, one hundred twenty-two thousand, one hundred seventeen".