211001111121 has 64 divisors (see below), whose sum is σ = 300940738560. Its totient is φ = 131309141760.

The previous prime is 211001111117. The next prime is 211001111171. The reversal of 211001111121 is 121111100112.

It is not a de Polignac number, because 211001111121 - 2² = 211001111117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211001111097 and 211001111106.

It is not an unprimeable number, because it can be changed into a prime (211001111171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141896440 + ... + 141897926.

It is an arithmetic number, because the mean of its divisors is an integer number (4702199040).

Almost surely, 2^211001111121 is an apocalyptic number.

It is an amenable number.

211001111121 is a deficient number, since it is larger than the sum of its proper divisors (89939627439).

211001111121 is a wasteful number, since it uses less digits than its factorization.

211001111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 211001111121 its reverse (121111100112), we get a palindrome (332112211233).

The spelling of 211001111121 in words is "two hundred eleven billion, one million, one hundred eleven thousand, one hundred twenty-one".