100271020032000 has 1440 divisors, whose sum is σ = 386827332091200. Its totient is φ = 24899066265600.

The previous prime is 100271020031909. The next prime is 100271020032037. The reversal of 100271020032000 is 230020172001.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30394366351 + ... + 30394369649.

It is an arithmetic number, because the mean of its divisors is an integer number (268630091730).

Almost surely, 2^{100271020032000} is an apocalyptic number.

100271020032000 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 100271020032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193413666045600).

100271020032000 is an abundant number, since it is smaller than the sum of its proper divisors (286556312059200).

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

100271020032000 is an equidigital number, since it uses as much as digits as its factorization.

100271020032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The spelling of 100271020032000 in words is "one hundred trillion, two hundred seventy-one billion, twenty million, thirty-two thousand".