201101220320 has 384 divisors, whose sum is σ = 639774858240. Its totient is φ = 57689210880.

The previous prime is 201101220283. The next prime is 201101220391. The reversal of 201101220320 is 23022101102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 201101220295 and 201101220304.

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 63 ways as a sum of consecutive naturals, for example, 60698984 + ... + 60702296.

It is an arithmetic number, because the mean of its divisors is an integer number (1666080360).

Almost surely, 2^201101220320 is an apocalyptic number.

201101220320 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 201101220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319887429120).

201101220320 is an abundant number, since it is smaller than the sum of its proper divisors (438673637920).

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

201101220320 is a wasteful number, since it uses less digits than its factorization.

201101220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 201101220320 its reverse (23022101102), we get a palindrome (224123321422).

The spelling of 201101220320 in words is "two hundred one billion, one hundred one million, two hundred twenty thousand, three hundred twenty".