101660010112 has 64 divisors (see below), whose sum is σ = 213758503200. Its totient is φ = 48025211904.

The previous prime is 101660010059. The next prime is 101660010157. The reversal of 101660010112 is 211010066101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 101660010112.

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 7 ways as a sum of consecutive naturals, for example, 851103 + ... + 963169.

Almost surely, 2^101660010112 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 101660010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106879251600).

101660010112 is an abundant number, since it is smaller than the sum of its proper divisors (112098493088).

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

101660010112 is a wasteful number, since it uses less digits than its factorization.

101660010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112473 (or 112461 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 101660010112 its reverse (211010066101), we get a palindrome (312670076213).

The spelling of 101660010112 in words is "one hundred one billion, six hundred sixty million, ten thousand, one hundred twelve".