100003320120 has 192 divisors, whose sum is σ = 344101685760. Its totient is φ = 23189098240.

The previous prime is 100003320071. The next prime is 100003320251. The reversal of 100003320120 is 21023300001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100003320096 and 100003320105.

It is a congruent number.

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, 184237 + ... + 483683.

It is an arithmetic number, because the mean of its divisors is an integer number (1792196280).

Almost surely, 2^100003320120 is an apocalyptic number.

100003320120 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 100003320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172050842880).

100003320120 is an abundant number, since it is smaller than the sum of its proper divisors (244098365640).

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

100003320120 is a wasteful number, since it uses less digits than its factorization.

100003320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299506 (or 299491 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100003320120 its reverse (21023300001), we get a palindrome (121026620121).

The spelling of 100003320120 in words is "one hundred billion, three million, three hundred twenty thousand, one hundred twenty".