211105121 has 2 divisors, whose sum is σ = 211105122. Its totient is φ = 211105120.

The previous prime is 211105117. The next prime is 211105151. The reversal of 211105121 is 121501112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178489600 + 32615521 = 13360^2 + 5711^2 .

It is a cyclic number.

It is not a de Polignac number, because 211105121 - 2² = 211105117 is a prime.

It is a super-2 number, since 2×211105121² = 89130744224849282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211105096 and 211105105.

It is not a weakly prime, because it can be changed into another prime (211105151) 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, 105552560 + 105552561.

It is an arithmetic number, because the mean of its divisors is an integer number (105552561).

Almost surely, 2^211105121 is an apocalyptic number.

It is an amenable number.

211105121 is a deficient number, since it is larger than the sum of its proper divisors (1).

211105121 is an equidigital number, since it uses as much as digits as its factorization.

211105121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20, while the sum is 14.

The square root of 211105121 is about 14529.4570098129. The cubic root of 211105121 is about 595.4330308154.

Adding to 211105121 its reverse (121501112), we get a palindrome (332606233).

The spelling of 211105121 in words is "two hundred eleven million, one hundred five thousand, one hundred twenty-one".