10000100101009 has 8 divisors (see below), whose sum is σ = 10210109646240. Its totient is φ = 9791441100000.

The previous prime is 10000100100959. The next prime is 10000100101027. The reversal of 10000100101009 is 90010100100001.

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 10000100101009 - 2¹³ = 10000100092817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10000100101009.

It is not an unprimeable number, because it can be changed into a prime (10000100101039) 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 7 ways as a sum of consecutive naturals, for example, 337621092 + ... + 337650709.

It is an arithmetic number, because the mean of its divisors is an integer number (1276263705780).

Almost surely, 2^{10000100101009} is an apocalyptic number.

It is an amenable number.

10000100101009 is a deficient number, since it is larger than the sum of its proper divisors (210009545231).

10000100101009 is an equidigital number, since it uses as much as digits as its factorization.

10000100101009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675272111.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 10000100101009 in words is "ten trillion, one hundred million, one hundred one thousand, nine".