103120212003200 has 384 divisors, whose sum is σ = 305974041408000. Its totient is φ = 33574985072640.

The previous prime is 103120212003097. The next prime is 103120212003217. The reversal of 103120212003200 is 2300212021301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70892816 + ... + 72332784.

It is an arithmetic number, because the mean of its divisors is an integer number (796807399500).

Almost surely, 2^{103120212003200} is an apocalyptic number.

103120212003200 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 103120212003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152987020704000).

103120212003200 is an abundant number, since it is smaller than the sum of its proper divisors (202853829404800).

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

103120212003200 is a wasteful number, since it uses less digits than its factorization.

103120212003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440162 (or 1440145 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 103120212003200 its reverse (2300212021301), we get a palindrome (105420424024501).

The spelling of 103120212003200 in words is "one hundred three trillion, one hundred twenty billion, two hundred twelve million, three thousand, two hundred".