102320021102200 has 192 divisors, whose sum is σ = 264113809920000. Its totient is φ = 36549710592000.

The previous prime is 102320021102197. The next prime is 102320021102209. The reversal of 102320021102200 is 2201120023201.

It is a happy number.

102320021102200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102320021102209) 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, 176368201 + ... + 176947399.

It is an arithmetic number, because the mean of its divisors is an integer number (1375592760000).

Almost surely, 2^{102320021102200} is an apocalyptic number.

102320021102200 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 102320021102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132056904960000).

102320021102200 is an abundant number, since it is smaller than the sum of its proper divisors (161793788817800).

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

102320021102200 is a wasteful number, since it uses less digits than its factorization.

102320021102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580646 (or 580637 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102320021102200 its reverse (2201120023201), we get a palindrome (104521141125401).

The spelling of 102320021102200 in words is "one hundred two trillion, three hundred twenty billion, twenty-one million, one hundred two thousand, two hundred".