101181574116 has 480 divisors, whose sum is σ = 318482841600. Its totient is φ = 27989260992.

The previous prime is 101181574099. The next prime is 101181574147. The reversal of 101181574116 is 611475181101.

101181574116 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 81 + 574 + 1 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 796705245 + ... + 796705371.

It is an arithmetic number, because the mean of its divisors is an integer number (663505920).

Almost surely, 2^101181574116 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 101181574116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159241420800).

101181574116 is an abundant number, since it is smaller than the sum of its proper divisors (217301267484).

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

101181574116 is a wasteful number, since it uses less digits than its factorization.

101181574116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 36.

The spelling of 101181574116 in words is "one hundred one billion, one hundred eighty-one million, five hundred seventy-four thousand, one hundred sixteen".