9181919101001 has 4 divisors (see below), whose sum is σ = 9236900652672. Its totient is φ = 9126937549332.

The previous prime is 9181919100967. The next prime is 9181919101027. The reversal of 9181919101001 is 1001019191819.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 9181919101001 - 2³⁰ = 9180845359177 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9181919101001.

It is not an unprimeable number, because it can be changed into a prime (9181919101301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27490775585 + ... + 27490775918.

It is an arithmetic number, because the mean of its divisors is an integer number (2309225163168).

Almost surely, 2^{9181919101001} is an apocalyptic number.

It is an amenable number.

9181919101001 is a deficient number, since it is larger than the sum of its proper divisors (54981551671).

9181919101001 is a wasteful number, since it uses less digits than its factorization.

9181919101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54981551670.

The product of its (nonzero) digits is 5832, while the sum is 41.

The spelling of 9181919101001 in words is "nine trillion, one hundred eighty-one billion, nine hundred nineteen million, one hundred one thousand, one".