100100100001001 has 8 divisors (see below), whose sum is σ = 100942838989344. Its totient is φ = 99258552165760.

The previous prime is 100100100000973. The next prime is 100100100001039. The reversal of 100100100001001 is 100100001001001.

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 100100100001001 - 2²⁶ = 100100032892137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100100001051) 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, 297619496 + ... + 297955641.

It is an arithmetic number, because the mean of its divisors is an integer number (12617854873668).

Almost surely, 2^{100100100001001} is an apocalyptic number.

It is an amenable number.

100100100001001 is a deficient number, since it is larger than the sum of its proper divisors (842738988343).

100100100001001 is a wasteful number, since it uses less digits than its factorization.

100100100001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595576551.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100100100001001 its reverse (100100001001001), we get a palindrome (200200101002002).

The spelling of 100100100001001 in words is "one hundred trillion, one hundred billion, one hundred million, one thousand, one".