212212212101 has 2 divisors, whose sum is σ = 212212212102. Its totient is φ = 212212212100.

The previous prime is 212212212071. The next prime is 212212212259. The reversal of 212212212101 is 101212212212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209823544225 + 2388667876 = 458065^2 + 48874^2 .

It is a cyclic number.

It is not a de Polignac number, because 212212212101 - 2¹⁰ = 212212211077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212212212101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212212272101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106106106050 + 106106106051.

It is an arithmetic number, because the mean of its divisors is an integer number (106106106051).

Almost surely, 2^212212212101 is an apocalyptic number.

It is an amenable number.

212212212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212212212101 is an equidigital number, since it uses as much as digits as its factorization.

212212212101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212212212101 its reverse (101212212212), we get a palindrome (313424424313).

It can be divided in two parts, 212212212 and 101, that multiplied together give a palindrome (21433433412).

The spelling of 212212212101 in words is "two hundred twelve billion, two hundred twelve million, two hundred twelve thousand, one hundred one".