101660982211584 has 1584 divisors, whose sum is σ = 344616452294400. Its totient is φ = 29782252191744.

The previous prime is 101660982211531. The next prime is 101660982211639. The reversal of 101660982211584 is 485112289066101.

101660982211584 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 609 + 8 + 2 + 21 + 1 + 5 + 8 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101660982211584.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 171435045592 + ... + 171435046184.

It is an arithmetic number, because the mean of its divisors is an integer number (217560891600).

Almost surely, 2^{101660982211584} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101660982211584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172308226147200).

101660982211584 is an abundant number, since it is smaller than the sum of its proper divisors (242955470082816).

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

101660982211584 is an frugal number, since it uses more digits than its factorization.

101660982211584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 101660982211584 in words is "one hundred one trillion, six hundred sixty billion, nine hundred eighty-two million, two hundred eleven thousand, five hundred eighty-four".