2001212205001 has 2 divisors, whose sum is σ = 2001212205002. Its totient is φ = 2001212205000.

The previous prime is 2001212204951. The next prime is 2001212205007. The reversal of 2001212205001 is 1005022121002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1809872449225 + 191339755776 = 1345315^2 + 437424^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001212205001 - 2¹⁷ = 2001212073929 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001212205007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000606102500 + 1000606102501.

It is an arithmetic number, because the mean of its divisors is an integer number (1000606102501).

Almost surely, 2^{2001212205001} is an apocalyptic number.

It is an amenable number.

2001212205001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001212205001 is an equidigital number, since it uses as much as digits as its factorization.

2001212205001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 2001212205001 its reverse (1005022121002), we get a palindrome (3006234326003).

The spelling of 2001212205001 in words is "two trillion, one billion, two hundred twelve million, two hundred five thousand, one".