100219473312 has 384 divisors, whose sum is σ = 324327628800. Its totient is φ = 26447855616.

The previous prime is 100219473311. The next prime is 100219473373. The reversal of 100219473312 is 213374912001.

It is not an unprimeable number, because it can be changed into a prime (100219473311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 264431139 + ... + 264431517.

It is an arithmetic number, because the mean of its divisors is an integer number (844603200).

Almost surely, 2^100219473312 is an apocalyptic number.

100219473312 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 100219473312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162163814400).

100219473312 is an abundant number, since it is smaller than the sum of its proper divisors (224108155488).

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

100219473312 is a wasteful number, since it uses less digits than its factorization.

100219473312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 100219473312 in words is "one hundred billion, two hundred nineteen million, four hundred seventy-three thousand, three hundred twelve".