103303003121100 has 432 divisors, whose sum is σ = 334240002270720. Its totient is φ = 26677594944000.

The previous prime is 103303003121081. The next prime is 103303003121113. The reversal of 103303003121100 is 1121300303301.

It is a happy number.

103303003121100 is a `hidden beast` number, since 1 + 0 + 330 + 300 + 3 + 1 + 21 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 768310479 + ... + 768444921.

It is an arithmetic number, because the mean of its divisors is an integer number (773703708960).

Almost surely, 2^{103303003121100} is an apocalyptic number.

103303003121100 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 103303003121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167120001135360).

103303003121100 is an abundant number, since it is smaller than the sum of its proper divisors (230936999149620).

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

103303003121100 is a wasteful number, since it uses less digits than its factorization.

103303003121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134750 (or 134740 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103303003121100 its reverse (1121300303301), we get a palindrome (104424303424401).

The spelling of 103303003121100 in words is "one hundred three trillion, three hundred three billion, three million, one hundred twenty-one thousand, one hundred".