102004442004114 has 288 divisors, whose sum is σ = 254816858696400. Its totient is φ = 29420295690240.

The previous prime is 102004442004109. The next prime is 102004442004191. The reversal of 102004442004114 is 411400244400201.

It is a happy number.

102004442004114 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 4 + 44 + 200 + 411 + 4 = 666.

102004442004114 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 23628916089 + 101980813088025 = 153717^2 + 10098555^2 .

It is a Curzon 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, 1504700532 + ... + 1504768320.

Almost surely, 2^{102004442004114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102004442004114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127408429348200).

102004442004114 is an abundant number, since it is smaller than the sum of its proper divisors (152812416692286).

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

102004442004114 is a wasteful number, since it uses less digits than its factorization.

102004442004114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68350 (or 68334 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 102004442004114 its reverse (411400244400201), we get a palindrome (513404686404315).

The spelling of 102004442004114 in words is "one hundred two trillion, four billion, four hundred forty-two million, four thousand, one hundred fourteen".