100303103120 has 80 divisors (see below), whose sum is σ = 254980412352. Its totient is φ = 36391380480.

The previous prime is 100303103099. The next prime is 100303103179. The reversal of 100303103120 is 21301303001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 100303103095 and 100303103104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261194 + ... + 518486.

Almost surely, 2^100303103120 is an apocalyptic number.

100303103120 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 100303103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127490206176).

100303103120 is an abundant number, since it is smaller than the sum of its proper divisors (154677309232).

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

100303103120 is a wasteful number, since it uses less digits than its factorization.

100303103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257760 (or 257754 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100303103120 its reverse (21301303001), we get a palindrome (121604406121).

The spelling of 100303103120 in words is "one hundred billion, three hundred three million, one hundred three thousand, one hundred twenty".