100996128309120 has 2048 divisors, whose sum is σ = 392949920563200. Its totient is φ = 21776781312000.

The previous prime is 100996128309077. The next prime is 100996128309121. The reversal of 100996128309120 is 21903821699001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100996128309121) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 124532833515 + ... + 124532834325.

It is an arithmetic number, because the mean of its divisors is an integer number (191870078400).

Almost surely, 2^{100996128309120} is an apocalyptic number.

100996128309120 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 100996128309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196474960281600).

100996128309120 is an abundant number, since it is smaller than the sum of its proper divisors (291953792254080).

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

100996128309120 is a wasteful number, since it uses less digits than its factorization.

100996128309120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 51.

The spelling of 100996128309120 in words is "one hundred trillion, nine hundred ninety-six billion, one hundred twenty-eight million, three hundred nine thousand, one hundred twenty".