212211221100001 has 2 divisors, whose sum is σ = 212211221100002. Its totient is φ = 212211221100000.

The previous prime is 212211221099957. The next prime is 212211221100007. The reversal of 212211221100001 is 100001122112212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201802054547025 + 10409166552976 = 14205705^2 + 3226324^2 .

It is a cyclic number.

It is not a de Polignac number, because 212211221100001 - 2¹⁹ = 212211220575713 is a prime.

It is not a weakly prime, because it can be changed into another prime (212211221100007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106105610550000 + 106105610550001.

It is an arithmetic number, because the mean of its divisors is an integer number (106105610550001).

Almost surely, 2^{212211221100001} is an apocalyptic number.

It is an amenable number.

212211221100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212211221100001 is an equidigital number, since it uses as much as digits as its factorization.

212211221100001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212211221100001 its reverse (100001122112212), we get a palindrome (312212343212213).

The spelling of 212211221100001 in words is "two hundred twelve trillion, two hundred eleven billion, two hundred twenty-one million, one hundred thousand, one".