212120212122001 has 2 divisors, whose sum is σ = 212120212122002. Its totient is φ = 212120212122000.

The previous prime is 212120212121941. The next prime is 212120212122011. The reversal of 212120212122001 is 100221212021212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195390075240000 + 16730136882001 = 13978200^2 + 4090249^2 .

It is a cyclic number.

It is not a de Polignac number, because 212120212122001 - 2⁴¹ = 209921188866449 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212120212122001.

It is not a weakly prime, because it can be changed into another prime (212120212122011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106060106061000 + 106060106061001.

It is an arithmetic number, because the mean of its divisors is an integer number (106060106061001).

Almost surely, 2^{212120212122001} is an apocalyptic number.

It is an amenable number.

212120212122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212120212122001 is an equidigital number, since it uses as much as digits as its factorization.

212120212122001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 212120212122001 its reverse (100221212021212), we get a palindrome (312341424143213).

The spelling of 212120212122001 in words is "two hundred twelve trillion, one hundred twenty billion, two hundred twelve million, one hundred twenty-two thousand, one".