101136384000 has 960 divisors, whose sum is σ = 392574873600. Its totient is φ = 25657344000.

The previous prime is 101136383989. The next prime is 101136384029. The reversal of 101136384000 is 483631101.

101136384000 is a `hidden beast` number, since 10 + 1 + 13 + 638 + 4 + 0 + 0 + 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1714175971 + ... + 1714176029.

It is an arithmetic number, because the mean of its divisors is an integer number (408932160).

Almost surely, 2^101136384000 is an apocalyptic number.

101136384000 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 101136384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196287436800).

101136384000 is an abundant number, since it is smaller than the sum of its proper divisors (291438489600).

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

101136384000 is an frugal number, since it uses more digits than its factorization.

101136384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 101136384000 in words is "one hundred one billion, one hundred thirty-six million, three hundred eighty-four thousand".