201103120 has 40 divisors (see below), whose sum is σ = 472213080. Its totient is φ = 79641600.

The previous prime is 201103117. The next prime is 201103121. The reversal of 201103120 is 21301102.

It can be written as a sum of positive squares in 4 ways, for example, as 12645136 + 188457984 = 3556^2 + 13728^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 = 201103097 and 201103106.

It is not an unprimeable number, because it can be changed into a prime (201103121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4365 + ... + 20524.

It is an arithmetic number, because the mean of its divisors is an integer number (11805327).

Almost surely, 2^201103120 is an apocalyptic number.

201103120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201103120 is an abundant number, since it is smaller than the sum of its proper divisors (271109960).

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

201103120 is a wasteful number, since it uses less digits than its factorization.

201103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25003 (or 24997 counting only the distinct ones).

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

The square root of 201103120 is about 14181.0831744264. The cubic root of 201103120 is about 585.8767577376.

Adding to 201103120 its reverse (21301102), we get a palindrome (222404222).

The spelling of 201103120 in words is "two hundred one million, one hundred three thousand, one hundred twenty".