10100012009 has 16 divisors (see below), whose sum is σ = 10561259520. Its totient is φ = 9647616000.

The previous prime is 10100011993. The next prime is 10100012081. The reversal of 10100012009 is 90021000101.

10100012009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10100012009 - 2⁴ = 10100011993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100011984 and 10100012002.

It is not an unprimeable number, because it can be changed into a prime (10100002009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1765664 + ... + 1771374.

It is an arithmetic number, because the mean of its divisors is an integer number (660078720).

Almost surely, 2^10100012009 is an apocalyptic number.

It is an amenable number.

10100012009 is a deficient number, since it is larger than the sum of its proper divisors (461247511).

10100012009 is an equidigital number, since it uses as much as digits as its factorization.

10100012009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6472.

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 10100012009 in words is "ten billion, one hundred million, twelve thousand, nine".