101000009984 has 72 divisors (see below), whose sum is σ = 206403120000. Its totient is φ = 49309792256.

The previous prime is 101000009983. The next prime is 101000010017. The reversal of 101000009984 is 489900000101.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 101000009984.

It is not an unprimeable number, because it can be changed into a prime (101000009983) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2228057 + ... + 2272935.

It is an arithmetic number, because the mean of its divisors is an integer number (2866710000).

Almost surely, 2^101000009984 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 101000009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103201560000).

101000009984 is an abundant number, since it is smaller than the sum of its proper divisors (105403110016).

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

101000009984 is an equidigital number, since it uses as much as digits as its factorization.

101000009984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45103 (or 45089 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The spelling of 101000009984 in words is "one hundred one billion, nine thousand, nine hundred eighty-four".