9181819100101 has 32 divisors (see below), whose sum is σ = 9520864176096. Its totient is φ = 8851576320000.

The previous prime is 9181819100053. The next prime is 9181819100119. The reversal of 9181819100101 is 1010019181819.

9181819100101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 2598540776001 + 6583278324100 = 1611999^2 + 2565790^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9181819100101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9181819100501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182803171 + ... + 182853391.

It is an arithmetic number, because the mean of its divisors is an integer number (297527005503).

Almost surely, 2^{9181819100101} is an apocalyptic number.

It is an amenable number.

9181819100101 is a deficient number, since it is larger than the sum of its proper divisors (339045075995).

9181819100101 is a wasteful number, since it uses less digits than its factorization.

9181819100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50713.

The product of its (nonzero) digits is 5184, while the sum is 40.

The spelling of 9181819100101 in words is "nine trillion, one hundred eighty-one billion, eight hundred nineteen million, one hundred thousand, one hundred one".