102001319984 has 80 divisors (see below), whose sum is σ = 210552892800. Its totient is φ = 47777651712.

The previous prime is 102001319963. The next prime is 102001319989. The reversal of 102001319984 is 489913100201.

102001319984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (102001319989) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6292562 + ... + 6308750.

It is an arithmetic number, because the mean of its divisors is an integer number (2631911160).

Almost surely, 2^102001319984 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 102001319984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105276446400).

102001319984 is an abundant number, since it is smaller than the sum of its proper divisors (108551572816).

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

102001319984 is a wasteful number, since it uses less digits than its factorization.

102001319984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16630 (or 16624 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The spelling of 102001319984 in words is "one hundred two billion, one million, three hundred nineteen thousand, nine hundred eighty-four".