211211222121121 has 8 divisors (see below), whose sum is σ = 213335998058664. Its totient is φ = 209087104531200.

The previous prime is 211211222121079. The next prime is 211211222121139. The reversal of 211211222121121 is 121121222112112.

It can be written as a sum of positive squares in 4 ways, for example, as 25902898281121 + 185308323840000 = 5089489^2 + 13612800^2 .

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 211211222121121 - 2³³ = 211202632186529 is a prime.

It is a super-2 number, since 2×211211222121121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211211222121092 and 211211222121101.

It is not an unprimeable number, because it can be changed into a prime (211211222121181) 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 7 ways as a sum of consecutive naturals, for example, 163942026 + ... + 165225331.

It is an arithmetic number, because the mean of its divisors is an integer number (26666999757333).

Almost surely, 2^{211211222121121} is an apocalyptic number.

It is an amenable number.

211211222121121 is a deficient number, since it is larger than the sum of its proper divisors (2124775937543).

211211222121121 is a wasteful number, since it uses less digits than its factorization.

211211222121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329173811.

The product of its digits is 128, while the sum is 22.

Adding to 211211222121121 its reverse (121121222112112), we get a palindrome (332332444233233).

Subtracting from 211211222121121 its reverse (121121222112112), we obtain a palindrome (90090000009009).

The spelling of 211211222121121 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty-one".