100271099934720 has 6912 divisors, whose sum is σ = 477886625798400. Its totient is φ = 19183907635200.

The previous prime is 100271099934701. The next prime is 100271099934763. The reversal of 100271099934720 is 27439990172001.

It is a happy number.

100271099934720 is a `hidden beast` number, since 1 + 0 + 0 + 271 + 0 + 9 + 9 + 9 + 347 + 20 = 666.

It is a super-2 number, since 2×100271099934720² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1643788523490 + ... + 1643788523550.

It is an arithmetic number, because the mean of its divisors is an integer number (69138690075).

Almost surely, 2^{100271099934720} is an apocalyptic number.

100271099934720 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 100271099934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238943312899200).

100271099934720 is an abundant number, since it is smaller than the sum of its proper divisors (377615525863680).

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

100271099934720 is a wasteful number, since it uses less digits than its factorization.

100271099934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 100271099934720 in words is "one hundred trillion, two hundred seventy-one billion, ninety-nine million, nine hundred thirty-four thousand, seven hundred twenty".