101118468660048 has 720 divisors, whose sum is σ = 342498694966272. Its totient is φ = 27738547200000.

The previous prime is 101118468660007. The next prime is 101118468660109. The reversal of 101118468660048 is 840066864811101.

101118468660048 is a `hidden beast` number, since 1 + 0 + 1 + 118 + 468 + 6 + 60 + 0 + 4 + 8 = 666.

101118468660048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101118468659976 and 101118468660003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36100844248 + ... + 36100847048.

Almost surely, 2^{101118468660048} is an apocalyptic number.

101118468660048 is a gapful number since it is divisible by the number (18) 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 101118468660048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171249347483136).

101118468660048 is an abundant number, since it is smaller than the sum of its proper divisors (241380226306224).

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

101118468660048 is a wasteful number, since it uses less digits than its factorization.

101118468660048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4104 (or 4088 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 101118468660048 in words is "one hundred one trillion, one hundred eighteen billion, four hundred sixty-eight million, six hundred sixty thousand, forty-eight".