100303200000000 has 648 divisors, whose sum is σ = 362143379035620. Its totient is φ = 26745600000000.

The previous prime is 100303199999993. The next prime is 100303200000013. The reversal of 100303200000000 is 2303001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7199993035 + ... + 7200006965.

Almost surely, 2^{100303200000000} is an apocalyptic number.

100303200000000 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 100303200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181071689517810).

100303200000000 is an abundant number, since it is smaller than the sum of its proper divisors (261840179035620).

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

100303200000000 is an frugal number, since it uses more digits than its factorization.

100303200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13999 (or 13941 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 100303200000000 its reverse (2303001), we get a palindrome (100303202303001).

The spelling of 100303200000000 in words is "one hundred trillion, three hundred three billion, two hundred million", and thus it is an aban number.