21122212311121 has 8 divisors (see below), whose sum is σ = 21521508506280. Its totient is φ = 20722944408192.

The previous prime is 21122212311077. The next prime is 21122212311131. The reversal of 21122212311121 is 12111321222112.

It can be written as a sum of positive squares in 4 ways, for example, as 838799539600 + 20283412771521 = 915860^2 + 4503711^2 .

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 21122212311121 - 2²⁵ = 21122178756689 is a prime.

It is a super-2 number, since 2×21122212311121² (a number of 27 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 = 21122212311092 and 21122212311101.

It is not an unprimeable number, because it can be changed into a prime (21122212311131) 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, 5562780 + ... + 8555053.

It is an arithmetic number, because the mean of its divisors is an integer number (2690188563285).

Almost surely, 2^{21122212311121} is an apocalyptic number.

It is an amenable number.

21122212311121 is a deficient number, since it is larger than the sum of its proper divisors (399296195159).

21122212311121 is a wasteful number, since it uses less digits than its factorization.

21122212311121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14146115.

The product of its digits is 192, while the sum is 22.

Adding to 21122212311121 its reverse (12111321222112), we get a palindrome (33233533533233).

The spelling of 21122212311121 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred twelve million, three hundred eleven thousand, one hundred twenty-one".