103101133200 has 240 divisors, whose sum is σ = 362386180800. Its totient is φ = 24899696640.

The previous prime is 103101133139. The next prime is 103101133229. The reversal of 103101133200 is 2331101301.

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 103101133200.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 764451 + ... + 889149.

It is an arithmetic number, because the mean of its divisors is an integer number (1509942420).

Almost surely, 2^103101133200 is an apocalyptic number.

103101133200 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 103101133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181193090400).

103101133200 is an abundant number, since it is smaller than the sum of its proper divisors (259285047600).

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

103101133200 is a wasteful number, since it uses less digits than its factorization.

103101133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124786 (or 124775 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 103101133200 its reverse (2331101301), we get a palindrome (105432234501).

The spelling of 103101133200 in words is "one hundred three billion, one hundred one million, one hundred thirty-three thousand, two hundred".