100384003001 has 16 divisors (see below), whose sum is σ = 111921341760. Its totient is φ = 89475886080.

The previous prime is 100384002991. The next prime is 100384003003. The reversal of 100384003001 is 100300483001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100384003001 - 2⁶ = 100384002937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100384003003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 920945 + ... + 1024161.

It is an arithmetic number, because the mean of its divisors is an integer number (6995083860).

Almost surely, 2^100384003001 is an apocalyptic number.

It is an amenable number.

100384003001 is a deficient number, since it is larger than the sum of its proper divisors (11537338759).

100384003001 is a wasteful number, since it uses less digits than its factorization.

100384003001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106264.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 100384003001 its reverse (100300483001), we get a palindrome (200684486002).

The spelling of 100384003001 in words is "one hundred billion, three hundred eighty-four million, three thousand, one".