101712774850560 has 1920 divisors, whose sum is σ = 392972026487040. Its totient is φ = 25200367239168.

The previous prime is 101712774850487. The next prime is 101712774850567. The reversal of 101712774850560 is 65058477217101.

It is a happy number.

101712774850560 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 1 + 2 + 7 + 74 + 8 + 5 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 101712774850497 and 101712774850506.

It is not an unprimeable number, because it can be changed into a prime (101712774850567) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 171522385624 + ... + 171522386216.

It is an arithmetic number, because the mean of its divisors is an integer number (204672930462).

Almost surely, 2^{101712774850560} is an apocalyptic number.

101712774850560 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 101712774850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196486013243520).

101712774850560 is an abundant number, since it is smaller than the sum of its proper divisors (291259251636480).

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

101712774850560 is an frugal number, since it uses more digits than its factorization.

101712774850560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 54.

The spelling of 101712774850560 in words is "one hundred one trillion, seven hundred twelve billion, seven hundred seventy-four million, eight hundred fifty thousand, five hundred sixty".