103122101301200 has 30 divisors (see below), whose sum is σ = 247750848377094. Its totient is φ = 41248840520320.

The previous prime is 103122101301161. The next prime is 103122101301221. The reversal of 103122101301200 is 2103101221301.

It can be written as a sum of positive squares in 3 ways, for example, as 20663279393344 + 82458821907856 = 4545688^2 + 9080684^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 128902626227 + ... + 128902627026.

Almost surely, 2^{103122101301200} is an apocalyptic number.

103122101301200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103122101301200 is an abundant number, since it is smaller than the sum of its proper divisors (144628747075894).

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

103122101301200 is a wasteful number, since it uses less digits than its factorization.

103122101301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257805253271 (or 257805253260 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 103122101301200 its reverse (2103101221301), we get a palindrome (105225202522501).

The spelling of 103122101301200 in words is "one hundred three trillion, one hundred twenty-two billion, one hundred one million, three hundred one thousand, two hundred".