212101222111001 has 2 divisors, whose sum is σ = 212101222111002. Its totient is φ = 212101222111000.

The previous prime is 212101222110991. The next prime is 212101222111021. The reversal of 212101222111001 is 100111222101212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211453011947776 + 648210163225 = 14541424^2 + 805115^2 .

It is a cyclic number.

It is not a de Polignac number, because 212101222111001 - 2¹⁴ = 212101222094617 is a prime.

It is not a weakly prime, because it can be changed into another prime (212101222111021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106050611055500 + 106050611055501.

It is an arithmetic number, because the mean of its divisors is an integer number (106050611055501).

Almost surely, 2^{212101222111001} is an apocalyptic number.

It is an amenable number.

212101222111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212101222111001 is an equidigital number, since it uses as much as digits as its factorization.

212101222111001 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 17.

Adding to 212101222111001 its reverse (100111222101212), we get a palindrome (312212444212213).

The spelling of 212101222111001 in words is "two hundred twelve trillion, one hundred one billion, two hundred twenty-two million, one hundred eleven thousand, one".