201103420320 has 576 divisors, whose sum is σ = 794896187904. Its totient is φ = 45757071360.

The previous prime is 201103420313. The next prime is 201103420327. The reversal of 201103420320 is 23024301102.

201103420320 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 0 + 342 + 0 + 320 = 666.

201103420320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201103420313) and next prime (201103420327).

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

It is a junction number, because it is equal to n+sod(n) for n = 201103420293 and 201103420302.

It is not an unprimeable number, because it can be changed into a prime (201103420327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124675834 + ... + 124677446.

It is an arithmetic number, because the mean of its divisors is an integer number (1380028104).

Almost surely, 2^201103420320 is an apocalyptic number.

201103420320 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 201103420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397448093952).

201103420320 is an abundant number, since it is smaller than the sum of its proper divisors (593792767584).

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

201103420320 is a wasteful number, since it uses less digits than its factorization.

201103420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201103420320 its reverse (23024301102), we get a palindrome (224127721422).

The spelling of 201103420320 in words is "two hundred one billion, one hundred three million, four hundred twenty thousand, three hundred twenty".