211121101111121 has 16 divisors (see below), whose sum is σ = 220341375740160. Its totient is φ = 202030298131200.

The previous prime is 211121101111073. The next prime is 211121101111321. The reversal of 211121101111121 is 121111101121112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 211121101111121 - 2²⁶ = 211121034002257 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211121101111121.

It is not an unprimeable number, because it can be changed into a prime (211121101111321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96742616 + ... + 98900838.

It is an arithmetic number, because the mean of its divisors is an integer number (13771335983760).

Almost surely, 2^{211121101111121} is an apocalyptic number.

It is an amenable number.

211121101111121 is a deficient number, since it is larger than the sum of its proper divisors (9220274629039).

211121101111121 is a wasteful number, since it uses less digits than its factorization.

211121101111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188216.

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

Adding to 211121101111121 its reverse (121111101121112), we get a palindrome (332232202232233).

Subtracting from 211121101111121 its reverse (121111101121112), we obtain a palindrome (90009999990009).

The spelling of 211121101111121 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred one million, one hundred eleven thousand, one hundred twenty-one".