102133220323200 has 1536 divisors, whose sum is σ = 394884555770880. Its totient is φ = 22927441920000.

The previous prime is 102133220323187. The next prime is 102133220323207. The reversal of 102133220323200 is 2323022331201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133220323207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30279636714 + ... + 30279640086.

It is an arithmetic number, because the mean of its divisors is an integer number (257086299330).

Almost surely, 2^{102133220323200} is an apocalyptic number.

102133220323200 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 102133220323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197442277885440).

102133220323200 is an abundant number, since it is smaller than the sum of its proper divisors (292751335447680).

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

102133220323200 is a wasteful number, since it uses less digits than its factorization.

102133220323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3696 (or 3679 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 102133220323200 its reverse (2323022331201), we get a palindrome (104456242654401).

The spelling of 102133220323200 in words is "one hundred two trillion, one hundred thirty-three billion, two hundred twenty million, three hundred twenty-three thousand, two hundred".