102311200200 has 384 divisors, whose sum is σ = 350727552000. Its totient is φ = 24466406400.

The previous prime is 102311200153. The next prime is 102311200217. The reversal of 102311200200 is 2002113201.

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

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 95 ways as a sum of consecutive naturals, for example, 210084357 + ... + 210084843.

It is an arithmetic number, because the mean of its divisors is an integer number (913353000).

Almost surely, 2^102311200200 is an apocalyptic number.

102311200200 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 102311200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175363776000).

102311200200 is an abundant number, since it is smaller than the sum of its proper divisors (248416351800).

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

102311200200 is a wasteful number, since it uses less digits than its factorization.

102311200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 876 counting only the distinct ones).

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

Adding to 102311200200 its reverse (2002113201), we get a palindrome (104313313401).

The spelling of 102311200200 in words is "one hundred two billion, three hundred eleven million, two hundred thousand, two hundred".