100112001001 has 8 divisors (see below), whose sum is σ = 101408267520. Its totient is φ = 98816460288.

The previous prime is 100112000999. The next prime is 100112001023. The reversal of 100112001001 is 100100211001.

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 100112001001 - 2¹ = 100112000999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100112001061) 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 7 ways as a sum of consecutive naturals, for example, 98985 + ... + 458281.

It is an arithmetic number, because the mean of its divisors is an integer number (12676033440).

Almost surely, 2^100112001001 is an apocalyptic number.

It is an amenable number.

100112001001 is a deficient number, since it is larger than the sum of its proper divisors (1296266519).

100112001001 is an equidigital number, since it uses as much as digits as its factorization.

100112001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362903.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100112001001 its reverse (100100211001), we get a palindrome (200212212002).

The spelling of 100112001001 in words is "one hundred billion, one hundred twelve million, one thousand, one".