101136047166 has 288 divisors, whose sum is σ = 287210327040. Its totient is φ = 24985065600.

The previous prime is 101136047153. The next prime is 101136047179. The reversal of 101136047166 is 661740631101.

101136047166 is a `hidden beast` number, since 10 + 113 + 6 + 0 + 471 + 66 = 666.

It is an interprime number because it is at equal distance from previous prime (101136047153) and next prime (101136047179).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101136047166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 198695320 + ... + 198695828.

It is an arithmetic number, because the mean of its divisors is an integer number (997258080).

Almost surely, 2^101136047166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101136047166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143605163520).

101136047166 is an abundant number, since it is smaller than the sum of its proper divisors (186074279874).

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

101136047166 is a wasteful number, since it uses less digits than its factorization.

101136047166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 101136047166 its reverse (661740631101), we get a palindrome (762876678267).

The spelling of 101136047166 in words is "one hundred one billion, one hundred thirty-six million, forty-seven thousand, one hundred sixty-six".