101689760000 has 180 divisors, whose sum is σ = 254736592572. Its totient is φ = 40501248000.

The previous prime is 101689759991. The next prime is 101689760059. The reversal of 101689760000 is 67986101.

It can be written as a sum of positive squares in 10 ways, for example, as 33439242496 + 68250517504 = 182864^2 + 261248^2 .

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 19 ways as a sum of consecutive naturals, for example, 41118764 + ... + 41121236.

Almost surely, 2^101689760000 is an apocalyptic number.

101689760000 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 101689760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127368296286).

101689760000 is an abundant number, since it is smaller than the sum of its proper divisors (153046832572).

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

101689760000 is an frugal number, since it uses more digits than its factorization.

101689760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The spelling of 101689760000 in words is "one hundred one billion, six hundred eighty-nine million, seven hundred sixty thousand".