9182819100001 has 16 divisors (see below), whose sum is σ = 9542794060800. Its totient is φ = 8830181174400.

The previous prime is 9182819099959. The next prime is 9182819100023. The reversal of 9182819100001 is 1000019182819.

It is a cyclic number.

It is not a de Polignac number, because 9182819100001 - 2¹¹ = 9182819097953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9182819100401) 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 15 ways as a sum of consecutive naturals, for example, 4525431 + ... + 6232588.

It is an arithmetic number, because the mean of its divisors is an integer number (596424628800).

Almost surely, 2^{9182819100001} is an apocalyptic number.

It is an amenable number.

9182819100001 is a deficient number, since it is larger than the sum of its proper divisors (359974960799).

9182819100001 is a wasteful number, since it uses less digits than its factorization.

9182819100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10758360.

The product of its (nonzero) digits is 10368, while the sum is 40.

The spelling of 9182819100001 in words is "nine trillion, one hundred eighty-two billion, eight hundred nineteen million, one hundred thousand, one".