100271806379808 has 384 divisors, whose sum is σ = 303767639949312. Its totient is φ = 28369769005056.

The previous prime is 100271806379803. The next prime is 100271806379821. The reversal of 100271806379808 is 808973608172001.

It is not an unprimeable number, because it can be changed into a prime (100271806379803) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 21457692160 + ... + 21457696832.

It is an arithmetic number, because the mean of its divisors is an integer number (791061562368).

Almost surely, 2^{100271806379808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100271806379808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151883819974656).

100271806379808 is an abundant number, since it is smaller than the sum of its proper divisors (203495833569504).

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

100271806379808 is a wasteful number, since it uses less digits than its factorization.

100271806379808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5656 (or 5648 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 60.

The spelling of 100271806379808 in words is "one hundred trillion, two hundred seventy-one billion, eight hundred six million, three hundred seventy-nine thousand, eight hundred eight".