1001009100000 has 1152 divisors, whose sum is σ = 4155718017024. Its totient is φ = 205286400000.

The previous prime is 1001009099983. The next prime is 1001009100023. The reversal of 1001009100000 is 19001001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1010099505 + ... + 1010100495.

It is an arithmetic number, because the mean of its divisors is an integer number (3607394112).

Almost surely, 2^{1001009100000} is an apocalyptic number.

1001009100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001009100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077859008512).

1001009100000 is an abundant number, since it is smaller than the sum of its proper divisors (3154708917024).

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

1001009100000 is an equidigital number, since it uses as much as digits as its factorization.

1001009100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

The spelling of 1001009100000 in words is "one trillion, one billion, nine million, one hundred thousand".