102333130011200 has 504 divisors, whose sum is σ = 278795002849824. Its totient is φ = 36967752729600.

The previous prime is 102333130011097. The next prime is 102333130011269. The reversal of 102333130011200 is 2110031333201.

102333130011200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102333130011200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59392413539 + ... + 59392415261.

Almost surely, 2^{102333130011200} is an apocalyptic number.

102333130011200 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 102333130011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139397501424912).

102333130011200 is an abundant number, since it is smaller than the sum of its proper divisors (176461872838624).

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

102333130011200 is an equidigital number, since it uses as much as digits as its factorization.

102333130011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 102333130011200 its reverse (2110031333201), we get a palindrome (104443161344401).

The spelling of 102333130011200 in words is "one hundred two trillion, three hundred thirty-three billion, one hundred thirty million, eleven thousand, two hundred".