11000100101009 has 8 divisors (see below), whose sum is σ = 11579943779712. Its totient is φ = 10428721293760.

The previous prime is 11000100100993. The next prime is 11000100101021. The reversal of 11000100101009 is 90010100100011.

It is a happy number.

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 11000100101009 - 2⁴ = 11000100100993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11000100100984 and 11000100101002.

It is not an unprimeable number, because it can be changed into a prime (11000100101509) 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, 2116215197 + ... + 2116220394.

It is an arithmetic number, because the mean of its divisors is an integer number (1447492972464).

Almost surely, 2^{11000100101009} is an apocalyptic number.

It is an amenable number.

11000100101009 is a deficient number, since it is larger than the sum of its proper divisors (579843678703).

11000100101009 is a wasteful number, since it uses less digits than its factorization.

11000100101009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232435727.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 11000100101009 in words is "eleven trillion, one hundred million, one hundred one thousand, nine".