212100221001181 has 2 divisors, whose sum is σ = 212100221001182. Its totient is φ = 212100221001180.

The previous prime is 212100221001079. The next prime is 212100221001187. The reversal of 212100221001181 is 181100122001212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 191170968478681 + 20929252522500 = 13826459^2 + 4574850^2 .

It is a cyclic number.

It is not a de Polignac number, because 212100221001181 - 2¹¹ = 212100220999133 is a prime.

It is a super-2 number, since 2×212100221001181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212100221001187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106050110500590 + 106050110500591.

It is an arithmetic number, because the mean of its divisors is an integer number (106050110500591).

Almost surely, 2^{212100221001181} is an apocalyptic number.

It is an amenable number.

212100221001181 is a deficient number, since it is larger than the sum of its proper divisors (1).

212100221001181 is an equidigital number, since it uses as much as digits as its factorization.

212100221001181 is an odious number, because the sum of its binary digits is odd.

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

Adding to 212100221001181 its reverse (181100122001212), we get a palindrome (393200343002393).

The spelling of 212100221001181 in words is "two hundred twelve trillion, one hundred billion, two hundred twenty-one million, one thousand, one hundred eighty-one".