320123010100 has 108 divisors (see below), whose sum is σ = 741254830092. Its totient is φ = 119586022400.

The previous prime is 320123010073. The next prime is 320123010113. The reversal of 320123010100 is 1010321023.

It can be written as a sum of positive squares in 6 ways, for example, as 450373284 + 319672636816 = 21222^2 + 565396^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29168214 + ... + 29179186.

It is an arithmetic number, because the mean of its divisors is an integer number (6863470649).

Almost surely, 2^320123010100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320123010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370627415046).

320123010100 is an abundant number, since it is smaller than the sum of its proper divisors (421131819992).

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

320123010100 is a wasteful number, since it uses less digits than its factorization.

320123010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11266 (or 11128 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 320123010100 its reverse (1010321023), we get a palindrome (321133331123).

The spelling of 320123010100 in words is "three hundred twenty billion, one hundred twenty-three million, ten thousand, one hundred".