102002123200 has 168 divisors, whose sum is σ = 270346545920. Its totient is φ = 37754035200.

The previous prime is 102002123189. The next prime is 102002123221. The reversal of 102002123200 is 2321200201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1268185 + ... + 1346215.

Almost surely, 2^102002123200 is an apocalyptic number.

102002123200 is a gapful number since it is divisible by the number (10) 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 102002123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135173272960).

102002123200 is an abundant number, since it is smaller than the sum of its proper divisors (168344422720).

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

102002123200 is a wasteful number, since it uses less digits than its factorization.

102002123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78115 (or 78100 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 102002123200 its reverse (2321200201), we get a palindrome (104323323401).

The spelling of 102002123200 in words is "one hundred two billion, two million, one hundred twenty-three thousand, two hundred".