201100100320 has 144 divisors (see below), whose sum is σ = 554639028048. Its totient is φ = 68702484480.

The previous prime is 201100100297. The next prime is 201100100323. The reversal of 201100100320 is 23001001102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 201100100297 and 201100100306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201100100323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2157399 + ... + 2248681.

It is an arithmetic number, because the mean of its divisors is an integer number (3851659917).

Almost surely, 2^201100100320 is an apocalyptic number.

201100100320 is a gapful number since it is divisible by the number (20) 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 201100100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277319514024).

201100100320 is an abundant number, since it is smaller than the sum of its proper divisors (353538927728).

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

201100100320 is a wasteful number, since it uses less digits than its factorization.

201100100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91593 (or 91578 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 201100100320 its reverse (23001001102), we get a palindrome (224101101422).

The spelling of 201100100320 in words is "two hundred one billion, one hundred million, one hundred thousand, three hundred twenty".