2121111212211 has 48 divisors (see below), whose sum is σ = 3125957971968. Its totient is φ = 1385710440000.

The previous prime is 2121111212093. The next prime is 2121111212221. The reversal of 2121111212211 is 1122121111212.

It is a happy number.

2121111212211 is a `hidden beast` number, since 21 + 211 + 11 + 212 + 211 = 666.

It is not a de Polignac number, because 2121111212211 - 2³⁷ = 1983672258739 is a prime.

It is a super-2 number, since 2×2121111212211² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2121111212221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111940240 + ... + 111959186.

It is an arithmetic number, because the mean of its divisors is an integer number (65124124416).

Almost surely, 2^{2121111212211} is an apocalyptic number.

2121111212211 is a deficient number, since it is larger than the sum of its proper divisors (1004846759757).

2121111212211 is a wasteful number, since it uses less digits than its factorization.

2121111212211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20312 (or 20309 counting only the distinct ones).

The product of its digits is 32, while the sum is 18.

Adding to 2121111212211 its reverse (1122121111212), we get a palindrome (3243232323423).

The spelling of 2121111212211 in words is "two trillion, one hundred twenty-one billion, one hundred eleven million, two hundred twelve thousand, two hundred eleven".