211110211000121 has 2 divisors, whose sum is σ = 211110211000122. Its totient is φ = 211110211000120.

The previous prime is 211110210999983. The next prime is 211110211000123. The reversal of 211110211000121 is 121000112011112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204790839565225 + 6319371434896 = 14310515^2 + 2513836^2 .

It is a cyclic number.

It is not a de Polignac number, because 211110211000121 - 2³⁰ = 211109137258297 is a prime.

Together with 211110211000123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 211110211000096 and 211110211000105.

It is not a weakly prime, because it can be changed into another prime (211110211000123) 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, 105555105500060 + 105555105500061.

It is an arithmetic number, because the mean of its divisors is an integer number (105555105500061).

Almost surely, 2^{211110211000121} is an apocalyptic number.

It is an amenable number.

211110211000121 is a deficient number, since it is larger than the sum of its proper divisors (1).

211110211000121 is an equidigital number, since it uses as much as digits as its factorization.

211110211000121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 211110211000121 its reverse (121000112011112), we get a palindrome (332110323011233).

The spelling of 211110211000121 in words is "two hundred eleven trillion, one hundred ten billion, two hundred eleven million, one hundred twenty-one", and thus it is an aban number.