101568841728 has 192 divisors, whose sum is σ = 289886688000. Its totient is φ = 31528599552.

The previous prime is 101568841723. The next prime is 101568841729. The reversal of 101568841728 is 827148865101.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (101568841723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6880051 + ... + 6894797.

It is an arithmetic number, because the mean of its divisors is an integer number (1509826500).

Almost surely, 2^101568841728 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 101568841728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144943344000).

101568841728 is an abundant number, since it is smaller than the sum of its proper divisors (188317846272).

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

101568841728 is a wasteful number, since it uses less digits than its factorization.

101568841728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14850 (or 14830 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 51.

The spelling of 101568841728 in words is "one hundred one billion, five hundred sixty-eight million, eight hundred forty-one thousand, seven hundred twenty-eight".