100991000101 has 8 divisors (see below), whose sum is σ = 103145719680. Its totient is φ = 98836529568.

The previous prime is 100991000083. The next prime is 100991000111. The reversal of 100991000101 is 101000199001.

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 100991000101 - 2⁵ = 100991000069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100991000111) 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 7 ways as a sum of consecutive naturals, for example, 921345 + ... + 1025113.

It is an arithmetic number, because the mean of its divisors is an integer number (12893214960).

Almost surely, 2^100991000101 is an apocalyptic number.

It is an amenable number.

100991000101 is a deficient number, since it is larger than the sum of its proper divisors (2154719579).

100991000101 is a wasteful number, since it uses less digits than its factorization.

100991000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124523.

The product of its (nonzero) digits is 81, while the sum is 22.

Adding to 100991000101 its reverse (101000199001), we get a palindrome (201991199102).

The spelling of 100991000101 in words is "one hundred billion, nine hundred ninety-one million, one hundred one", and thus it is an aban number.