102033120200 has 192 divisors, whose sum is σ = 263233152000. Its totient is φ = 36469664000.

The previous prime is 102033120193. The next prime is 102033120209. The reversal of 102033120200 is 2021330201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102033120209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65447021 + ... + 65448579.

It is an arithmetic number, because the mean of its divisors is an integer number (1371006000).

Almost surely, 2^102033120200 is an apocalyptic number.

102033120200 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 102033120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131616576000).

102033120200 is an abundant number, since it is smaller than the sum of its proper divisors (161200031800).

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

102033120200 is a wasteful number, since it uses less digits than its factorization.

102033120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 102033120200 its reverse (2021330201), we get a palindrome (104054450401).

The spelling of 102033120200 in words is "one hundred two billion, thirty-three million, one hundred twenty thousand, two hundred".