211222111121 has 24 divisors (see below), whose sum is σ = 250000269480. Its totient is φ = 177902790912.

The previous prime is 211222111033. The next prime is 211222111151. The reversal of 211222111121 is 121111222112.

It can be written as a sum of positive squares in 4 ways, for example, as 25427491600 + 185794619521 = 159460^2 + 431039^2 .

It is not a de Polignac number, because 211222111121 - 2²² = 211217916817 is a prime.

It is a super-2 number, since 2×211222111121² (a number of 23 digits) contains 22 as substring.

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 211222111121.

It is not an unprimeable number, because it can be changed into a prime (211222111151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 852455 + ... + 1071971.

It is an arithmetic number, because the mean of its divisors is an integer number (10416677895).

Almost surely, 2^211222111121 is an apocalyptic number.

It is an amenable number.

211222111121 is a deficient number, since it is larger than the sum of its proper divisors (38778158359).

211222111121 is a wasteful number, since it uses less digits than its factorization.

211222111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219873 (or 219866 counting only the distinct ones).

The product of its digits is 32, while the sum is 17.

Adding to 211222111121 its reverse (121111222112), we get a palindrome (332333333233).

The spelling of 211222111121 in words is "two hundred eleven billion, two hundred twenty-two million, one hundred eleven thousand, one hundred twenty-one".