103122032200 has 144 divisors (see below), whose sum is σ = 264034858500. Its totient is φ = 37428019200.

The previous prime is 103122032171. The next prime is 103122032207. The reversal of 103122032200 is 2230221301.

It can be written as a sum of positive squares in 6 ways, for example, as 20430128356 + 82691903844 = 142934^2 + 287562^2 .

It is not an unprimeable number, because it can be changed into a prime (103122032207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13766056 + ... + 13773544.

Almost surely, 2^103122032200 is an apocalyptic number.

103122032200 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 103122032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132017429250).

103122032200 is an abundant number, since it is smaller than the sum of its proper divisors (160912826300).

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

103122032200 is a wasteful number, since it uses less digits than its factorization.

103122032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8096 (or 8076 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 103122032200 its reverse (2230221301), we get a palindrome (105352253501).

The spelling of 103122032200 in words is "one hundred three billion, one hundred twenty-two million, thirty-two thousand, two hundred".