101163301085184 has 672 divisors, whose sum is σ = 305452355417664. Its totient is φ = 29600364625920.

The previous prime is 101163301085123. The next prime is 101163301085191. The reversal of 101163301085184 is 481580103361101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30590654859 + ... + 30590658165.

It is an arithmetic number, because the mean of its divisors is an integer number (454542195562).

Almost surely, 2^{101163301085184} 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 101163301085184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152726177708832).

101163301085184 is an abundant number, since it is smaller than the sum of its proper divisors (204289054332480).

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

101163301085184 is a wasteful number, since it uses less digits than its factorization.

101163301085184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 101163301085184 in words is "one hundred one trillion, one hundred sixty-three billion, three hundred one million, eighty-five thousand, one hundred eighty-four".