100500339914112 has 384 divisors, whose sum is σ = 274103912960640. Its totient is φ = 32619901648896.

The previous prime is 100500339914069. The next prime is 100500339914147. The reversal of 100500339914112 is 211419933005001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127700558583 + ... + 127700559369.

It is an arithmetic number, because the mean of its divisors is an integer number (713812273335).

Almost surely, 2^{100500339914112} is an apocalyptic number.

100500339914112 is a gapful number since it is divisible by the number (12) 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 100500339914112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137051956480320).

100500339914112 is an abundant number, since it is smaller than the sum of its proper divisors (173603573046528).

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

100500339914112 is an equidigital number, since it uses as much as digits as its factorization.

100500339914112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The spelling of 100500339914112 in words is "one hundred trillion, five hundred billion, three hundred thirty-nine million, nine hundred fourteen thousand, one hundred twelve".