2002220100009 has 12 divisors (see below), whose sum is σ = 2970260449156. Its totient is φ = 1298737361952.

The previous prime is 2002220100007. The next prime is 2002220100017. The reversal of 2002220100009 is 9000010222002.

It can be written as a sum of positive squares in 2 ways, for example, as 1611701342784 + 390518757225 = 1269528^2 + 624915^2 .

It is not a de Polignac number, because 2002220100009 - 2¹ = 2002220100007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002220099964 and 2002220100000.

It is not an unprimeable number, because it can be changed into a prime (2002220100007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3006336154 + ... + 3006336819.

Almost surely, 2^{2002220100009} is an apocalyptic number.

It is an amenable number.

2002220100009 is a deficient number, since it is larger than the sum of its proper divisors (968040349147).

2002220100009 is a wasteful number, since it uses less digits than its factorization.

2002220100009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6012673016 (or 6012673013 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 2002220100009 in words is "two trillion, two billion, two hundred twenty million, one hundred thousand, nine".