102000223333200 has 240 divisors, whose sum is σ = 334750577716800. Its totient is φ = 26533426483200.

The previous prime is 102000223333187. The next prime is 102000223333207. The reversal of 102000223333200 is 2333322000201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000223333207) 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, 419997406 + ... + 420240194.

It is an arithmetic number, because the mean of its divisors is an integer number (1394794073820).

Almost surely, 2^{102000223333200} is an apocalyptic number.

102000223333200 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 102000223333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167375288858400).

102000223333200 is an abundant number, since it is smaller than the sum of its proper divisors (232750354383600).

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

102000223333200 is a wasteful number, since it uses less digits than its factorization.

102000223333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251390 (or 251379 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 102000223333200 its reverse (2333322000201), we get a palindrome (104333545333401).

The spelling of 102000223333200 in words is "one hundred two trillion, two hundred twenty-three million, three hundred thirty-three thousand, two hundred".