2010721052009 has 2 divisors, whose sum is σ = 2010721052010. Its totient is φ = 2010721052008.

The previous prime is 2010721052003. The next prime is 2010721052023. The reversal of 2010721052009 is 9002501270102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1994591290000 + 16129762009 = 1412300^2 + 127003^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010721052009 - 2³² = 2006426084713 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2010721052003) 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, 1005360526004 + 1005360526005.

It is an arithmetic number, because the mean of its divisors is an integer number (1005360526005).

Almost surely, 2^{2010721052009} is an apocalyptic number.

It is an amenable number.

2010721052009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010721052009 is an equidigital number, since it uses as much as digits as its factorization.

2010721052009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 29.

The spelling of 2010721052009 in words is "two trillion, ten billion, seven hundred twenty-one million, fifty-two thousand, nine".