9191000010100 has 54 divisors (see below), whose sum is σ = 20143897406402. Its totient is φ = 3639999600000.

The previous prime is 9191000010079. The next prime is 9191000010131. The reversal of 9191000010100 is 10100001919.

It can be written as a sum of positive squares in 9 ways, for example, as 428713276644 + 8762286733456 = 654762^2 + 2960116^2 .

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 3484851 + ... + 5525050.

Almost surely, 2^{9191000010100} is an apocalyptic number.

It is an amenable number.

9191000010100 is an abundant number, since it is smaller than the sum of its proper divisors (10952897396302).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9191000010100 is a wasteful number, since it uses less digits than its factorization.

9191000010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010117 (or 9010009 counting only the distinct ones).

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

The spelling of 9191000010100 in words is "nine trillion, one hundred ninety-one billion, ten thousand, one hundred".