211011211111121 has 2 divisors, whose sum is σ = 211011211111122. Its totient is φ = 211011211111120.

The previous prime is 211011211111117. The next prime is 211011211111237. The reversal of 211011211111121 is 121111112110112.

It is a happy number.

211011211111121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207631845838096 + 3379365273025 = 14409436^2 + 1838305^2 .

It is a cyclic number.

It is not a de Polignac number, because 211011211111121 - 2² = 211011211111117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211011211111121.

It is not a weakly prime, because it can be changed into another prime (211011211111111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105505605555560 + 105505605555561.

It is an arithmetic number, because the mean of its divisors is an integer number (105505605555561).

Almost surely, 2^{211011211111121} is an apocalyptic number.

It is an amenable number.

211011211111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

211011211111121 is an equidigital number, since it uses as much as digits as its factorization.

211011211111121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 17.

Adding to 211011211111121 its reverse (121111112110112), we get a palindrome (332122323221233).

The spelling of 211011211111121 in words is "two hundred eleven trillion, eleven billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty-one".