100016850912 has 192 divisors, whose sum is σ = 296865596160. Its totient is φ = 29206016000.

The previous prime is 100016850881. The next prime is 100016850971. The reversal of 100016850912 is 219058610001.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 17238412 + ... + 17244212.

It is an arithmetic number, because the mean of its divisors is an integer number (1546174980).

Almost surely, 2^100016850912 is an apocalyptic number.

100016850912 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 100016850912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148432798080).

100016850912 is an abundant number, since it is smaller than the sum of its proper divisors (196848745248).

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

100016850912 is a wasteful number, since it uses less digits than its factorization.

100016850912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417 (or 6409 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The spelling of 100016850912 in words is "one hundred billion, sixteen million, eight hundred fifty thousand, nine hundred twelve".