211222221201121 has 12 divisors (see below), whose sum is σ = 228720964623420. Its totient is φ = 194973467532480.

The previous prime is 211222221201071. The next prime is 211222221201139. The reversal of 211222221201121 is 121102122222112.

It can be written as a sum of positive squares in 6 ways, for example, as 1860536920225 + 209361684280896 = 1364015^2 + 14469336^2 .

It is not a de Polignac number, because 211222221201121 - 2⁹ = 211222221200609 is a prime.

It is a super-2 number, since 2×211222221201121² (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 = 211222221201092 and 211222221201101.

It is not an unprimeable number, because it can be changed into a prime (211222221201221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35802175 + ... + 41282443.

It is an arithmetic number, because the mean of its divisors is an integer number (19060080385285).

Almost surely, 2^{211222221201121} is an apocalyptic number.

It is an amenable number.

211222221201121 is a deficient number, since it is larger than the sum of its proper divisors (17498743422299).

211222221201121 is a wasteful number, since it uses less digits than its factorization.

211222221201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5708356 (or 5708343 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 211222221201121 its reverse (121102122222112), we get a palindrome (332324343423233).

The spelling of 211222221201121 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred twenty-one million, two hundred one thousand, one hundred twenty-one".