1820100002009 has 2 divisors, whose sum is σ = 1820100002010. Its totient is φ = 1820100002008.

The previous prime is 1820100001997. The next prime is 1820100002023. The reversal of 1820100002009 is 9002000010281.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1118856217600 + 701243784409 = 1057760^2 + 837403^2 .

It is a cyclic number.

It is not a de Polignac number, because 1820100002009 - 2²⁴ = 1820083224793 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 (1820100002029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 910050001004 + 910050001005.

It is an arithmetic number, because the mean of its divisors is an integer number (910050001005).

Almost surely, 2^{1820100002009} is an apocalyptic number.

It is an amenable number.

1820100002009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1820100002009 is an equidigital number, since it uses as much as digits as its factorization.

1820100002009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 1820100002009 in words is "one trillion, eight hundred twenty billion, one hundred million, two thousand, nine".