211121011122121 has 2 divisors, whose sum is σ = 211121011122122. Its totient is φ = 211121011122120.

The previous prime is 211121011122089. The next prime is 211121011122139. The reversal of 211121011122121 is 121221110121112.

211121011122121 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., 211070919758400 + 50091363721 = 14528280^2 + 223811^2 .

It is a cyclic number.

It is not a de Polignac number, because 211121011122121 - 2⁵ = 211121011122089 is a prime.

It is not a weakly prime, because it can be changed into another prime (211121011122521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105560505561060 + 105560505561061.

It is an arithmetic number, because the mean of its divisors is an integer number (105560505561061).

Almost surely, 2^{211121011122121} is an apocalyptic number.

It is an amenable number.

211121011122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

211121011122121 is an equidigital number, since it uses as much as digits as its factorization.

211121011122121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 211121011122121 its reverse (121221110121112), we get a palindrome (332342121243233).

The spelling of 211121011122121 in words is "two hundred eleven trillion, one hundred twenty-one billion, eleven million, one hundred twenty-two thousand, one hundred twenty-one".