1001001819100 has 36 divisors (see below), whose sum is σ = 2193680642328. Its totient is φ = 396436360000.

The previous prime is 1001001819071. The next prime is 1001001819109. The reversal of 1001001819100 is 19181001001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001001819109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49544446 + ... + 49564645.

It is an arithmetic number, because the mean of its divisors is an integer number (60935573398).

Almost surely, 2^{1001001819100} is an apocalyptic number.

1001001819100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001001819100 is an abundant number, since it is smaller than the sum of its proper divisors (1192678823228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001001819100 is a wasteful number, since it uses less digits than its factorization.

1001001819100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99109206 (or 99109199 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 1001001819100 in words is "one trillion, one billion, one million, eight hundred nineteen thousand, one hundred".