9191819100001 has 16 divisors (see below), whose sum is σ = 9478676320848. Its totient is φ = 8910622080000.

The previous prime is 9191819099987. The next prime is 9191819100029. The reversal of 9191819100001 is 1000019181919.

It can be written as a sum of positive squares in 8 ways, for example, as 6797837601 + 9185021262400 = 82449^2 + 3030680^2 .

It is a cyclic number.

It is not a de Polignac number, because 9191819100001 - 2⁴³ = 395726077793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9191819200001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3539850 + ... + 5560051.

It is an arithmetic number, because the mean of its divisors is an integer number (592417270053).

Almost surely, 2^{9191819100001} is an apocalyptic number.

It is an amenable number.

9191819100001 is a deficient number, since it is larger than the sum of its proper divisors (286857220847).

9191819100001 is a wasteful number, since it uses less digits than its factorization.

9191819100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9100212.

The product of its (nonzero) digits is 5832, while the sum is 40.

The spelling of 9191819100001 in words is "nine trillion, one hundred ninety-one billion, eight hundred nineteen million, one hundred thousand, one".