100010002001 has 24 divisors (see below), whose sum is σ = 127952979840. Its totient is φ = 77445178272.

The previous prime is 100010001997. The next prime is 100010002039. The reversal of 100010002001 is 100200010001.

It is a happy number.

It is not a de Polignac number, because 100010002001 - 2² = 100010001997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100010002051) 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 23 ways as a sum of consecutive naturals, for example, 1640291 + ... + 1700168.

It is an arithmetic number, because the mean of its divisors is an integer number (5331374160).

Almost surely, 2^100010002001 is an apocalyptic number.

It is an amenable number.

100010002001 is a deficient number, since it is larger than the sum of its proper divisors (27942977839).

100010002001 is a wasteful number, since it uses less digits than its factorization.

100010002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340533 (or 3340526 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 100010002001 its reverse (100200010001), we get a palindrome (200210012002).

The spelling of 100010002001 in words is "one hundred billion, ten million, two thousand, one".