102200320200 has 192 divisors, whose sum is σ = 347177779200. Its totient is φ = 24664377600.

The previous prime is 102200320109. The next prime is 102200320241. The reversal of 102200320200 is 2023002201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1437081 + ... + 1506519.

It is an arithmetic number, because the mean of its divisors is an integer number (1808217600).

Almost surely, 2^102200320200 is an apocalyptic number.

102200320200 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 102200320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173588889600).

102200320200 is an abundant number, since it is smaller than the sum of its proper divisors (244977459000).

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

102200320200 is a wasteful number, since it uses less digits than its factorization.

102200320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69692 (or 69683 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 102200320200 its reverse (2023002201), we get a palindrome (104223322401).

The spelling of 102200320200 in words is "one hundred two billion, two hundred million, three hundred twenty thousand, two hundred".