10009091919100 has 72 divisors (see below), whose sum is σ = 21993809056128. Its totient is φ = 3953339256000.

The previous prime is 10009091919067. The next prime is 10009091919137. The reversal of 10009091919100 is 191919090001.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2173875 + ... + 4974325.

It is an arithmetic number, because the mean of its divisors is an integer number (305469570224).

Almost surely, 2^{10009091919100} is an apocalyptic number.

10009091919100 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 10009091919100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10996904528064).

10009091919100 is an abundant number, since it is smaller than the sum of its proper divisors (11984717137028).

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

10009091919100 is a wasteful number, since it uses less digits than its factorization.

10009091919100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800915 (or 2800908 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 40.

The spelling of 10009091919100 in words is "ten trillion, nine billion, ninety-one million, nine hundred nineteen thousand, one hundred".