212212101212201 has 2 divisors, whose sum is σ = 212212101212202. Its totient is φ = 212212101212200.

The previous prime is 212212101212191. The next prime is 212212101212219. The reversal of 212212101212201 is 102212101212212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 140928713395600 + 71283387816601 = 11871340^2 + 8442949^2 .

It is a cyclic number.

It is not a de Polignac number, because 212212101212201 - 2¹⁴ = 212212101195817 is a prime.

It is a super-2 number, since 2×212212101212201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212212101212101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106106050606100 + 106106050606101.

It is an arithmetic number, because the mean of its divisors is an integer number (106106050606101).

Almost surely, 2^{212212101212201} is an apocalyptic number.

It is an amenable number.

212212101212201 is a deficient number, since it is larger than the sum of its proper divisors (1).

212212101212201 is an equidigital number, since it uses as much as digits as its factorization.

212212101212201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 212212101212201 its reverse (102212101212212), we get a palindrome (314424202424413).

The spelling of 212212101212201 in words is "two hundred twelve trillion, two hundred twelve billion, one hundred one million, two hundred twelve thousand, two hundred one".