102201120200 has 192 divisors, whose sum is σ = 256464299520. Its totient is φ = 37734912000.

The previous prime is 102201120167. The next prime is 102201120223. The reversal of 102201120200 is 2021102201.

It is a happy number.

102201120200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 118424969 + ... + 118425831.

It is an arithmetic number, because the mean of its divisors is an integer number (1335751560).

Almost surely, 2^102201120200 is an apocalyptic number.

102201120200 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 102201120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128232149760).

102201120200 is an abundant number, since it is smaller than the sum of its proper divisors (154263179320).

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

102201120200 is a wasteful number, since it uses less digits than its factorization.

102201120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102201120200 its reverse (2021102201), we get a palindrome (104222222401).

The spelling of 102201120200 in words is "one hundred two billion, two hundred one million, one hundred twenty thousand, two hundred".