211110211121 has 8 divisors (see below), whose sum is σ = 223798762080. Its totient is φ = 198451693888.

The previous prime is 211110211111. The next prime is 211110211139. The reversal of 211110211121 is 121112011112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 211110211121 - 2⁶ = 211110211057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211110211096 and 211110211105.

It is not an unprimeable number, because it can be changed into a prime (211110211111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7493951 + ... + 7522068.

It is an arithmetic number, because the mean of its divisors is an integer number (27974845260).

Almost surely, 2^211110211121 is an apocalyptic number.

It is an amenable number.

211110211121 is a deficient number, since it is larger than the sum of its proper divisors (12688550959).

211110211121 is a wasteful number, since it uses less digits than its factorization.

211110211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15016863.

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

Adding to 211110211121 its reverse (121112011112), we get a palindrome (332222222233).

Subtracting from 211110211121 its reverse (121112011112), we obtain a square (89998200009 = 299997²).

The spelling of 211110211121 in words is "two hundred eleven billion, one hundred ten million, two hundred eleven thousand, one hundred twenty-one".