211221210112117 has 2 divisors, whose sum is σ = 211221210112118. Its totient is φ = 211221210112116.

The previous prime is 211221210112091. The next prime is 211221210112139. The reversal of 211221210112117 is 711211012122112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 193772135082436 + 17449075029681 = 13920206^2 + 4177209^2 .

It is a cyclic number.

It is not a de Polignac number, because 211221210112117 - 2¹⁵ = 211221210079349 is a prime.

It is a super-2 number, since 2×211221210112117² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211221210112091 and 211221210112100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211221210112217) 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, 105610605056058 + 105610605056059.

It is an arithmetic number, because the mean of its divisors is an integer number (105610605056059).

Almost surely, 2^{211221210112117} is an apocalyptic number.

It is an amenable number.

211221210112117 is a deficient number, since it is larger than the sum of its proper divisors (1).

211221210112117 is an equidigital number, since it uses as much as digits as its factorization.

211221210112117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 25.

Adding to 211221210112117 its reverse (711211012122112), we get a palindrome (922432222234229).

The spelling of 211221210112117 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred ten million, one hundred twelve thousand, one hundred seventeen".