102114342330 has 768 divisors, whose sum is σ = 362607114240. Its totient is φ = 18027878400.

The previous prime is 102114342257. The next prime is 102114342403. The reversal of 102114342330 is 33243411201.

It is a happy number.

102114342330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102114342257) and next prime (102114342403).

It is a self number, because there is not a number n which added to its sum of digits gives 102114342330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 147777285 + ... + 147777975.

It is an arithmetic number, because the mean of its divisors is an integer number (472144680).

Almost surely, 2^102114342330 is an apocalyptic number.

102114342330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102114342330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181303557120).

102114342330 is an abundant number, since it is smaller than the sum of its proper divisors (260492771910).

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

102114342330 is a wasteful number, since it uses less digits than its factorization.

102114342330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102114342330 its reverse (33243411201), we get a palindrome (135357753531).

It can be divided in two parts, 102114 and 342330, that added together give a palindrome (444444).

The spelling of 102114342330 in words is "one hundred two billion, one hundred fourteen million, three hundred forty-two thousand, three hundred thirty".