102201310200 has 192 divisors, whose sum is σ = 345959107200. Its totient is φ = 24752217600.

The previous prime is 102201310187. The next prime is 102201310231. The reversal of 102201310200 is 2013102201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7404906 + ... + 7418694.

It is an arithmetic number, because the mean of its divisors is an integer number (1801870350).

Almost surely, 2^102201310200 is an apocalyptic number.

102201310200 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 102201310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172979553600).

102201310200 is an abundant number, since it is smaller than the sum of its proper divisors (243757797000).

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

102201310200 is a wasteful number, since it uses less digits than its factorization.

102201310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14942 (or 14933 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102201310200 its reverse (2013102201), we get a palindrome (104214412401).

The spelling of 102201310200 in words is "one hundred two billion, two hundred one million, three hundred ten thousand, two hundred".