10009191009100 has 36 divisors (see below), whose sum is σ = 21780445806000. Its totient is φ = 3992524087360.

The previous prime is 10009191009089. The next prime is 10009191009107. The reversal of 10009191009100 is 190019190001.

It is not an unprimeable number, because it can be changed into a prime (10009191009107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139367875 + ... + 139439674.

It is an arithmetic number, because the mean of its divisors is an integer number (605012383500).

Almost surely, 2^{10009191009100} is an apocalyptic number.

10009191009100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10009191009100 is an abundant number, since it is smaller than the sum of its proper divisors (11771254796900).

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

10009191009100 is a wasteful number, since it uses less digits than its factorization.

10009191009100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278807922 (or 278807915 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 31.

The spelling of 10009191009100 in words is "ten trillion, nine billion, one hundred ninety-one million, nine thousand, one hundred".