102112033200320 has 224 divisors, whose sum is σ = 285714296191296. Its totient is φ = 34269305241600.

The previous prime is 102112033200313. The next prime is 102112033200323. The reversal of 102112033200320 is 23002330211201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102112033200292 and 102112033200301.

It is not an unprimeable number, because it can be changed into a prime (102112033200323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262330640 + ... + 262719600.

It is an arithmetic number, because the mean of its divisors is an integer number (1275510250854).

Almost surely, 2^{102112033200320} is an apocalyptic number.

102112033200320 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 102112033200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142857148095648).

102112033200320 is an abundant number, since it is smaller than the sum of its proper divisors (183602262990976).

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

102112033200320 is a wasteful number, since it uses less digits than its factorization.

102112033200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394739 (or 394729 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102112033200320 its reverse (23002330211201), we get a palindrome (125114363411521).

The spelling of 102112033200320 in words is "one hundred two trillion, one hundred twelve billion, thirty-three million, two hundred thousand, three hundred twenty".