1001919192001 has 48 divisors (see below), whose sum is σ = 1268395545600. Its totient is φ = 790732051200.

The previous prime is 1001919191947. The next prime is 1001919192011. The reversal of 1001919192001 is 1002919191001.

It is not a de Polignac number, because 1001919192001 - 2²⁵ = 1001885637569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001919192011) 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 47 ways as a sum of consecutive naturals, for example, 23223216 + ... + 23266318.

It is an arithmetic number, because the mean of its divisors is an integer number (26424907200).

Almost surely, 2^{1001919192001} is an apocalyptic number.

It is an amenable number.

1001919192001 is a deficient number, since it is larger than the sum of its proper divisors (266476353599).

1001919192001 is an equidigital number, since it uses as much as digits as its factorization.

1001919192001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43551 (or 43524 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 34.

The spelling of 1001919192001 in words is "one trillion, one billion, nine hundred nineteen million, one hundred ninety-two thousand, one".