100100910191 has 8 divisors (see below), whose sum is σ = 102352174080. Its totient is φ = 97874250552.

The previous prime is 100100910181. The next prime is 100100910197. The reversal of 100100910191 is 191019001001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100910191 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 (100100910197) 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, 6142835 + ... + 6159108.

It is an arithmetic number, because the mean of its divisors is an integer number (12794021760).

Almost surely, 2^100100910191 is an apocalyptic number.

100100910191 is a deficient number, since it is larger than the sum of its proper divisors (2251263889).

100100910191 is a wasteful number, since it uses less digits than its factorization.

100100910191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12302125.

The product of its (nonzero) digits is 81, while the sum is 23.

Adding to 100100910191 its reverse (191019001001), we get a palindrome (291119911192).

The spelling of 100100910191 in words is "one hundred billion, one hundred million, nine hundred ten thousand, one hundred ninety-one".