1009181910020 has 24 divisors (see below), whose sum is σ = 2127528255384. Its totient is φ = 402102050816.

The previous prime is 1009181910001. The next prime is 1009181910047. The reversal of 1009181910020 is 200191819001.

It can be written as a sum of positive squares in 4 ways, for example, as 389595678976 + 619586231044 = 624176^2 + 787138^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 98164307 + ... + 98174586.

It is an arithmetic number, because the mean of its divisors is an integer number (88647010641).

Almost surely, 2^{1009181910020} is an apocalyptic number.

1009181910020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009181910020 is an abundant number, since it is smaller than the sum of its proper divisors (1118346345364).

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

1009181910020 is a wasteful number, since it uses less digits than its factorization.

1009181910020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196339159 (or 196339157 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 32.

The spelling of 1009181910020 in words is "one trillion, nine billion, one hundred eighty-one million, nine hundred ten thousand, twenty".