10182819110091 has 16 divisors (see below), whose sum is σ = 13580166737664. Its totient is φ = 6787008988704.

The previous prime is 10182819109943. The next prime is 10182819110117. The reversal of 10182819110091 is 19001191828101.

It is not a de Polignac number, because 10182819110091 - 2²¹ = 10182817012939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10182819110591) 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 15 ways as a sum of consecutive naturals, for example, 318565476 + ... + 318597438.

It is an arithmetic number, because the mean of its divisors is an integer number (848760421104).

Almost surely, 2^{10182819110091} is an apocalyptic number.

10182819110091 is a deficient number, since it is larger than the sum of its proper divisors (3397347627573).

10182819110091 is a wasteful number, since it uses less digits than its factorization.

10182819110091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52690.

The product of its (nonzero) digits is 10368, while the sum is 42.

The spelling of 10182819110091 in words is "ten trillion, one hundred eighty-two billion, eight hundred nineteen million, one hundred ten thousand, ninety-one".