101321185815360 has 448 divisors, whose sum is σ = 408988384358400. Its totient is φ = 23131513350144.

The previous prime is 101321185815349. The next prime is 101321185815407. The reversal of 101321185815360 is 63518581123101.

101321185815360 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 1 + 1 + 8 + 581 + 5 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

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, 49744339 + ... + 51741101.

It is an arithmetic number, because the mean of its divisors is an integer number (912920500800).

Almost surely, 2^{101321185815360} is an apocalyptic number.

101321185815360 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 101321185815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204494192179200).

101321185815360 is an abundant number, since it is smaller than the sum of its proper divisors (307667198543040).

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

101321185815360 is a wasteful number, since it uses less digits than its factorization.

101321185815360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997635 (or 1997619 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 101321185815360 in words is "one hundred one trillion, three hundred twenty-one billion, one hundred eighty-five million, eight hundred fifteen thousand, three hundred sixty".