100914191001 has 12 divisors (see below), whose sum is σ = 156977630628. Its totient is φ = 62101040544.

The previous prime is 100914190999. The next prime is 100914191023. The reversal of 100914191001 is 100191419001.

It can be written as a sum of positive squares in 2 ways, for example, as 41292272025 + 59621918976 = 203205^2 + 244176^2 .

It is not a de Polignac number, because 100914191001 - 2¹ = 100914190999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100914191501) 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 11 ways as a sum of consecutive naturals, for example, 431257110 + ... + 431257343.

It is an arithmetic number, because the mean of its divisors is an integer number (13081469219).

Almost surely, 2^100914191001 is an apocalyptic number.

It is an amenable number.

100914191001 is a deficient number, since it is larger than the sum of its proper divisors (56063439627).

100914191001 is a wasteful number, since it uses less digits than its factorization.

100914191001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862514472 (or 862514469 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 27.

The spelling of 100914191001 in words is "one hundred billion, nine hundred fourteen million, one hundred ninety-one thousand, one".