10100000001009 has 8 divisors (see below), whose sum is σ = 13476224279520. Its totient is φ = 6728554528256.

The previous prime is 10100000000941. The next prime is 10100000001071. The reversal of 10100000001009 is 90010000000101.

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 10100000001009 - 2²³ = 10099991612401 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100000000985 and 10100000001003.

It is not an unprimeable number, because it can be changed into a prime (10100000001109) 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, 1194696507 + ... + 1194704960.

It is an arithmetic number, because the mean of its divisors is an integer number (1684528034940).

Almost surely, 2^{10100000001009} is an apocalyptic number.

It is an amenable number.

10100000001009 is a deficient number, since it is larger than the sum of its proper divisors (3376224278511).

10100000001009 is a wasteful number, since it uses less digits than its factorization.

10100000001009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389402879.

The product of its (nonzero) digits is 9, while the sum is 12.

The spelling of 10100000001009 in words is "ten trillion, one hundred billion, one thousand, nine".