100320120312 has 128 divisors (see below), whose sum is σ = 254933913600. Its totient is φ = 32895475200.

The previous prime is 100320120281. The next prime is 100320120337. The reversal of 100320120312 is 213021023001.

It is a junction number, because it is equal to n+sod(n) for n = 100320120291 and 100320120300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238289862 + ... + 238290282.

It is an arithmetic number, because the mean of its divisors is an integer number (1991671200).

Almost surely, 2^100320120312 is an apocalyptic number.

100320120312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100320120312 is an abundant number, since it is smaller than the sum of its proper divisors (154613793288).

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

100320120312 is a wasteful number, since it uses less digits than its factorization.

100320120312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100320120312 its reverse (213021023001), we get a palindrome (313341143313).

The spelling of 100320120312 in words is "one hundred billion, three hundred twenty million, one hundred twenty thousand, three hundred twelve".