101289484800 has 960 divisors, whose sum is σ = 429267168000. Its totient is φ = 22914662400.

The previous prime is 101289484781. The next prime is 101289484817. The reversal of 101289484800 is 8484982101.

101289484800 is a `hidden beast` number, since 1 + 0 + 12 + 89 + 484 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360460660 + ... + 360460940.

It is an arithmetic number, because the mean of its divisors is an integer number (447153300).

Almost surely, 2^101289484800 is an apocalyptic number.

101289484800 is a gapful number since it is divisible by the number (10) 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 101289484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214633584000).

101289484800 is an abundant number, since it is smaller than the sum of its proper divisors (327977683200).

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

101289484800 is a wasteful number, since it uses less digits than its factorization.

101289484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 101289484800 in words is "one hundred one billion, two hundred eighty-nine million, four hundred eighty-four thousand, eight hundred".