102002020000009 has 8 divisors (see below), whose sum is σ = 106667773071552. Its totient is φ = 97355507148240.

The previous prime is 102002020000003. The next prime is 102002020000087. The reversal of 102002020000009 is 900000020200201.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102002020000009 - 2⁴¹ = 99802996744457 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102002019999947 and 102002020000001.

It is not an unprimeable number, because it can be changed into a prime (102002020000003) 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 in 7 ways as a sum of consecutive naturals, for example, 4810044099 + ... + 4810065304.

It is an arithmetic number, because the mean of its divisors is an integer number (13333471633944).

Almost surely, 2^{102002020000009} is an apocalyptic number.

It is an amenable number.

102002020000009 is a deficient number, since it is larger than the sum of its proper divisors (4665753071543).

102002020000009 is an equidigital number, since it uses as much as digits as its factorization.

102002020000009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9620109887.

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

The spelling of 102002020000009 in words is "one hundred two trillion, two billion, twenty million, nine", and thus it is an aban number.