2002102009 has 2 divisors, whose sum is σ = 2002102010. Its totient is φ = 2002102008.

The previous prime is 2002101947. The next prime is 2002102043. The reversal of 2002102009 is 9002012002.

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., 1998090000 + 4012009 = 44700^2 + 2003^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002102009 - 2¹⁷ = 2001970937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002101983 and 2002102001.

It is not a weakly prime, because it can be changed into another prime (2002102049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001051004 + 1001051005.

It is an arithmetic number, because the mean of its divisors is an integer number (1001051005).

Almost surely, 2^2002102009 is an apocalyptic number.

It is an amenable number.

2002102009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002102009 is an equidigital number, since it uses as much as digits as its factorization.

2002102009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2002102009 is about 44744.8545533450. The cubic root of 2002102009 is about 1260.3622895804.

The spelling of 2002102009 in words is "two billion, two million, one hundred two thousand, nine".