10001002102009 has 8 divisors (see below), whose sum is σ = 10033225401960. Its totient is φ = 9968780530176.

The previous prime is 10001002102001. The next prime is 10001002102087. The reversal of 10001002102009 is 90020120010001.

10001002102009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7639634025 + 9993362467984 = 87405^2 + 3161228^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10001002102009 - 2³ = 10001002102001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001002101983 and 10001002102001.

It is not an unprimeable number, because it can be changed into a prime (10001002102001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11709669 + ... + 12534685.

It is an arithmetic number, because the mean of its divisors is an integer number (1254153175245).

Almost surely, 2^{10001002102009} is an apocalyptic number.

It is an amenable number.

10001002102009 is a deficient number, since it is larger than the sum of its proper divisors (32223299951).

10001002102009 is an equidigital number, since it uses as much as digits as its factorization.

10001002102009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864059.

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 10001002102009 in words is "ten trillion, one billion, two million, one hundred two thousand, nine".