201212121220001 has 2 divisors, whose sum is σ = 201212121220002. Its totient is φ = 201212121220000.

The previous prime is 201212121219959. The next prime is 201212121220007. The reversal of 201212121220001 is 100022121212102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136971912250000 + 64240208970001 = 11703500^2 + 8014999^2 .

It is a cyclic number.

It is not a de Polignac number, because 201212121220001 - 2¹⁴ = 201212121203617 is a prime.

It is not a weakly prime, because it can be changed into another prime (201212121220007) 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, 100606060610000 + 100606060610001.

It is an arithmetic number, because the mean of its divisors is an integer number (100606060610001).

Almost surely, 2^{201212121220001} is an apocalyptic number.

It is an amenable number.

201212121220001 is a deficient number, since it is larger than the sum of its proper divisors (1).

201212121220001 is an equidigital number, since it uses as much as digits as its factorization.

201212121220001 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 201212121220001 its reverse (100022121212102), we get a palindrome (301234242432103).

The spelling of 201212121220001 in words is "two hundred one trillion, two hundred twelve billion, one hundred twenty-one million, two hundred twenty thousand, one".