102312421200 has 540 divisors, whose sum is σ = 391964127100. Its totient is φ = 24695193600.

The previous prime is 102312421199. The next prime is 102312421217. The reversal of 102312421200 is 2124213201.

It is a happy number.

102312421200 is a `hidden beast` number, since 10 + 2 + 31 + 2 + 421 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1196053056 + 101116368144 = 34584^2 + 317988^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 152024064 + ... + 152024736.

Almost surely, 2^102312421200 is an apocalyptic number.

102312421200 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 102312421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195982063550).

102312421200 is an abundant number, since it is smaller than the sum of its proper divisors (289651705900).

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

102312421200 is a wasteful number, since it uses less digits than its factorization.

102312421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102312421200 its reverse (2124213201), we get a palindrome (104436634401).

The spelling of 102312421200 in words is "one hundred two billion, three hundred twelve million, four hundred twenty-one thousand, two hundred".