320101320100 has 144 divisors (see below), whose sum is σ = 763537380480. Its totient is φ = 115941196800.

The previous prime is 320101320079. The next prime is 320101320103. The reversal of 320101320100 is 1023101023.

It is not an unprimeable number, because it can be changed into a prime (320101320103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104572570 + ... + 104575630.

It is an arithmetic number, because the mean of its divisors is an integer number (5302342920).

Almost surely, 2^320101320100 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 320101320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381768690240).

320101320100 is an abundant number, since it is smaller than the sum of its proper divisors (443436060380).

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

320101320100 is a wasteful number, since it uses less digits than its factorization.

320101320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5510 (or 5503 counting only the distinct ones).

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

Adding to 320101320100 its reverse (1023101023), we get a palindrome (321124421123).

The spelling of 320101320100 in words is "three hundred twenty billion, one hundred one million, three hundred twenty thousand, one hundred".