101324514816 has 720 divisors, whose sum is σ = 360813573120. Its totient is φ = 27814440960.

The previous prime is 101324514803. The next prime is 101324514833. The reversal of 101324514816 is 618415423101.

101324514816 is a `hidden beast` number, since 1 + 0 + 132 + 4 + 514 + 8 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 728953275 + ... + 728953413.

Almost surely, 2^101324514816 is an apocalyptic number.

101324514816 is a gapful number since it is divisible by the number (16) 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 101324514816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180406786560).

101324514816 is an abundant number, since it is smaller than the sum of its proper divisors (259489058304).

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

101324514816 is an frugal number, since it uses more digits than its factorization.

101324514816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 101324514816 its reverse (618415423101), we get a palindrome (719739937917).

The spelling of 101324514816 in words is "one hundred one billion, three hundred twenty-four million, five hundred fourteen thousand, eight hundred sixteen".