101321515975680 has 7040 divisors, whose sum is σ = 528498272332800. Its totient is φ = 18228675870720.

The previous prime is 101321515975627. The next prime is 101321515975681. The reversal of 101321515975680 is 86579515123101.

101321515975680 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 21 + 5 + 1 + 59 + 7 + 568 + 0 = 666.

101321515975680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (7040).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (101321515975681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 345807221614 + ... + 345807221906.

It is an arithmetic number, because the mean of its divisors is an integer number (75070777320).

Almost surely, 2^{101321515975680} is an apocalyptic number.

101321515975680 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 101321515975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264249136166400).

101321515975680 is an abundant number, since it is smaller than the sum of its proper divisors (427176756357120).

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

101321515975680 is a wasteful number, since it uses less digits than its factorization.

101321515975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 54.

The spelling of 101321515975680 in words is "one hundred one trillion, three hundred twenty-one billion, five hundred fifteen million, nine hundred seventy-five thousand, six hundred eighty".