10201113984 has 128 divisors (see below), whose sum is σ = 28575993600. Its totient is φ = 3215407104.

The previous prime is 10201113961. The next prime is 10201114069. The reversal of 10201113984 is 48931110201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5522149 + ... + 5523995.

It is an arithmetic number, because the mean of its divisors is an integer number (223249950).

Almost surely, 2^10201113984 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 10201113984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14287996800).

10201113984 is an abundant number, since it is smaller than the sum of its proper divisors (18374879616).

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

10201113984 is a wasteful number, since it uses less digits than its factorization.

10201113984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 10201113984 in words is "ten billion, two hundred one million, one hundred thirteen thousand, nine hundred eighty-four".