102213315200 has 96 divisors (see below), whose sum is σ = 255958303260. Its totient is φ = 40325160960.

The previous prime is 102213315199. The next prime is 102213315257. The reversal of 102213315200 is 2513312201.

102213315200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 22115258944 + 80098056256 = 148712^2 + 283016^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14822 + ... + 452378.

Almost surely, 2^102213315200 is an apocalyptic number.

102213315200 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 102213315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127979151630).

102213315200 is an abundant number, since it is smaller than the sum of its proper divisors (153744988060).

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

102213315200 is an equidigital number, since it uses as much as digits as its factorization.

102213315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437654 (or 437637 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 102213315200 its reverse (2513312201), we get a palindrome (104726627401).

The spelling of 102213315200 in words is "one hundred two billion, two hundred thirteen million, three hundred fifteen thousand, two hundred".