103223101200 has 240 divisors, whose sum is σ = 349218481920. Its totient is φ = 25990709760.

The previous prime is 103223101129. The next prime is 103223101243. The reversal of 103223101200 is 2101322301.

103223101200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103223101200.

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, 6992227 + ... + 7006973.

It is an arithmetic number, because the mean of its divisors is an integer number (1455077008).

Almost surely, 2^103223101200 is an apocalyptic number.

103223101200 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 103223101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174609240960).

103223101200 is an abundant number, since it is smaller than the sum of its proper divisors (245995380720).

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

103223101200 is a wasteful number, since it uses less digits than its factorization.

103223101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15094 (or 15083 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103223101200 its reverse (2101322301), we get a palindrome (105324423501).

The spelling of 103223101200 in words is "one hundred three billion, two hundred twenty-three million, one hundred one thousand, two hundred".