101100001009 has 8 divisors (see below), whose sum is σ = 116686847808. Its totient is φ = 85799151600.

The previous prime is 101100000961. The next prime is 101100001027. The reversal of 101100001009 is 900100001101.

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 101100001009 - 2¹⁵ = 101099968241 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 101100001009.

It is not an unprimeable number, because it can be changed into a prime (101100001049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71498587 + ... + 71500000.

It is an arithmetic number, because the mean of its divisors is an integer number (14585855976).

Almost surely, 2^101100001009 is an apocalyptic number.

It is an amenable number.

101100001009 is a deficient number, since it is larger than the sum of its proper divisors (15586846799).

101100001009 is a wasteful number, since it uses less digits than its factorization.

101100001009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142998695.

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

The spelling of 101100001009 in words is "one hundred one billion, one hundred million, one thousand, nine".