10000919100000 has 288 divisors, whose sum is σ = 32835703380480. Its totient is φ = 2665100480000.

The previous prime is 10000919099999. The next prime is 10000919100001. The reversal of 10000919100000 is 191900001.

It is an interprime number because it is at equal distance from previous prime (10000919099999) and next prime (10000919100001).

It is a self number, because there is not a number n which added to its sum of digits gives 10000919100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000919100001) 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, 474889471 + ... + 474910529.

It is an arithmetic number, because the mean of its divisors is an integer number (114012858960).

Almost surely, 2^{10000919100000} is an apocalyptic number.

10000919100000 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 10000919100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16417851690240).

10000919100000 is an abundant number, since it is smaller than the sum of its proper divisors (22834784280480).

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

10000919100000 is an equidigital number, since it uses as much as digits as its factorization.

10000919100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22680 (or 22652 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 21.

The spelling of 10000919100000 in words is "ten trillion, nine hundred nineteen million, one hundred thousand".