211417121 has 2 divisors, whose sum is σ = 211417122. Its totient is φ = 211417120.

The previous prime is 211417109. The next prime is 211417133. The reversal of 211417121 is 121714112.

It is a balanced prime because it is at equal distance from previous prime (211417109) and next prime (211417133).

It can be written as a sum of positive squares in only one way, i.e., 187991521 + 23425600 = 13711^2 + 4840^2 .

It is a cyclic number.

It is not a de Polignac number, because 211417121 - 2¹⁴ = 211400737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211417093 and 211417102.

It is not a weakly prime, because it can be changed into another prime (211417721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105708560 + 105708561.

It is an arithmetic number, because the mean of its divisors is an integer number (105708561).

Almost surely, 2^211417121 is an apocalyptic number.

It is an amenable number.

211417121 is a deficient number, since it is larger than the sum of its proper divisors (1).

211417121 is an equidigital number, since it uses as much as digits as its factorization.

211417121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 112, while the sum is 20.

The square root of 211417121 is about 14540.1898543313. The cubic root of 211417121 is about 595.7262238599.

The spelling of 211417121 in words is "two hundred eleven million, four hundred seventeen thousand, one hundred twenty-one".