320201311121100 has 288 divisors, whose sum is σ = 1084779024698880. Its totient is φ = 80865876960000.

The previous prime is 320201311120997. The next prime is 320201311121119. The reversal of 320201311121100 is 1121113102023.

320201311121100 is a `hidden beast` number, since 3 + 20 + 201 + 311 + 121 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19253746 + ... + 31797945.

It is an arithmetic number, because the mean of its divisors is an integer number (3766593835760).

Almost surely, 2^{320201311121100} is an apocalyptic number.

320201311121100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320201311121100 is an abundant number, since it is smaller than the sum of its proper divisors (764577713577780).

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

320201311121100 is a wasteful number, since it uses less digits than its factorization.

320201311121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51051838 (or 51051825 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 320201311121100 its reverse (1121113102023), we get a palindrome (321322424223123).

The spelling of 320201311121100 in words is "three hundred twenty trillion, two hundred one billion, three hundred eleven million, one hundred twenty-one thousand, one hundred".