102201320103200 has 144 divisors (see below), whose sum is σ = 254302815453120. Its totient is φ = 40094000593920.

The previous prime is 102201320103139. The next prime is 102201320103299. The reversal of 102201320103200 is 2301023102201.

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 23 ways as a sum of consecutive naturals, for example, 111777491 + ... + 112688109.

It is an arithmetic number, because the mean of its divisors is an integer number (1765991773980).

Almost surely, 2^{102201320103200} is an apocalyptic number.

102201320103200 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 102201320103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127151407726560).

102201320103200 is an abundant number, since it is smaller than the sum of its proper divisors (152101495349920).

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

102201320103200 is a wasteful number, since it uses less digits than its factorization.

102201320103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913339 (or 913326 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102201320103200 its reverse (2301023102201), we get a palindrome (104502343205401).

The spelling of 102201320103200 in words is "one hundred two trillion, two hundred one billion, three hundred twenty million, one hundred three thousand, two hundred".