102003222304134 has 384 divisors, whose sum is σ = 261130046486400. Its totient is φ = 28552613806080.

The previous prime is 102003222304129. The next prime is 102003222304157. The reversal of 102003222304134 is 431403222300201.

102003222304134 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 3 + 222 + 304 + 134 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102003222304098 and 102003222304107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1545915424 + ... + 1545981404.

It is an arithmetic number, because the mean of its divisors is an integer number (680026162725).

Almost surely, 2^{102003222304134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102003222304134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130565023243200).

102003222304134 is an abundant number, since it is smaller than the sum of its proper divisors (159126824182266).

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

102003222304134 is a wasteful number, since it uses less digits than its factorization.

102003222304134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66280 (or 66277 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 102003222304134 its reverse (431403222300201), we get a palindrome (533406444604335).

The spelling of 102003222304134 in words is "one hundred two trillion, three billion, two hundred twenty-two million, three hundred four thousand, one hundred thirty-four".