100101100009 has 8 divisors (see below), whose sum is σ = 100281850272. Its totient is φ = 99920446080.

The previous prime is 100101100003. The next prime is 100101100013. The reversal of 100101100009 is 900001101001.

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 100101100009 - 2¹⁷ = 100100968937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101100003) 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, 2246622 + ... + 2290744.

It is an arithmetic number, because the mean of its divisors is an integer number (12535231284).

Almost surely, 2^100101100009 is an apocalyptic number.

It is an amenable number.

100101100009 is a deficient number, since it is larger than the sum of its proper divisors (180750263).

100101100009 is an equidigital number, since it uses as much as digits as its factorization.

100101100009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48167.

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

The spelling of 100101100009 in words is "one hundred billion, one hundred one million, one hundred thousand, nine".