2010020102009 has 2 divisors, whose sum is σ = 2010020102010. Its totient is φ = 2010020102008.

The previous prime is 2010020101997. The next prime is 2010020102023. The reversal of 2010020102009 is 9002010200102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1419576931600 + 590443170409 = 1191460^2 + 768403^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2010020102009 is a prime.

It is not a weakly prime, because it can be changed into another prime (2010020101009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005010051004 + 1005010051005.

It is an arithmetic number, because the mean of its divisors is an integer number (1005010051005).

Almost surely, 2^{2010020102009} is an apocalyptic number.

It is an amenable number.

2010020102009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010020102009 is an equidigital number, since it uses as much as digits as its factorization.

2010020102009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

The spelling of 2010020102009 in words is "two trillion, ten billion, twenty million, one hundred two thousand, nine".