201101320 has 128 divisors (see below), whose sum is σ = 551116800. Its totient is φ = 64509696.

The previous prime is 201101291. The next prime is 201101321. The reversal of 201101320 is 23101102.

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 = 201101297 and 201101306.

It is not an unprimeable number, because it can be changed into a prime (201101321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547777 + ... + 548143.

It is an arithmetic number, because the mean of its divisors is an integer number (4305600).

Almost surely, 2^201101320 is an apocalyptic number.

201101320 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 201101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275558400).

201101320 is an abundant number, since it is smaller than the sum of its proper divisors (350015480).

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

201101320 is a wasteful number, since it uses less digits than its factorization.

201101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 503 counting only the distinct ones).

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

The square root of 201101320 is about 14181.0197094567. The cubic root of 201101320 is about 585.8750097434.

Adding to 201101320 its reverse (23101102), we get a palindrome (224202422).

The spelling of 201101320 in words is "two hundred one million, one hundred one thousand, three hundred twenty".