103110101322200 has 192 divisors, whose sum is σ = 281643125829120. Its totient is φ = 34376662656000.

The previous prime is 103110101322113. The next prime is 103110101322203. The reversal of 103110101322200 is 2223101011301.

103110101322200 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 (103110101322203) 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, 151235 + ... + 14361165.

It is an arithmetic number, because the mean of its divisors is an integer number (1466891280360).

Almost surely, 2^{103110101322200} is an apocalyptic number.

103110101322200 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 103110101322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140821562914560).

103110101322200 is an abundant number, since it is smaller than the sum of its proper divisors (178533024506920).

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

103110101322200 is a wasteful number, since it uses less digits than its factorization.

103110101322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14210098 (or 14210089 counting only the distinct ones).

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

Adding to 103110101322200 its reverse (2223101011301), we get a palindrome (105333202333501).

The spelling of 103110101322200 in words is "one hundred three trillion, one hundred ten billion, one hundred one million, three hundred twenty-two thousand, two hundred".