102124334466 has 256 divisors, whose sum is σ = 294201815040. Its totient is φ = 25489728000.

The previous prime is 102124334423. The next prime is 102124334467. The reversal of 102124334466 is 664433421201.

102124334466 is a `hidden beast` number, since 1 + 0 + 212 + 43 + 344 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 102124334466.

It is not an unprimeable number, because it can be changed into a prime (102124334467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11417556 + ... + 11426496.

It is an arithmetic number, because the mean of its divisors is an integer number (1149225840).

Almost surely, 2^102124334466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102124334466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147100907520).

102124334466 is an abundant number, since it is smaller than the sum of its proper divisors (192077480574).

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

102124334466 is a wasteful number, since it uses less digits than its factorization.

102124334466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9078 (or 9072 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 102124334466 its reverse (664433421201), we get a palindrome (766557755667).

The spelling of 102124334466 in words is "one hundred two billion, one hundred twenty-four million, three hundred thirty-four thousand, four hundred sixty-six".