201103114300 has 144 divisors (see below), whose sum is σ = 481700419200. Its totient is φ = 72266515200.

The previous prime is 201103114291. The next prime is 201103114301. The reversal of 201103114300 is 3411301102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201103114301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 50236099 + ... + 50240101.

It is an arithmetic number, because the mean of its divisors is an integer number (3345141800).

Almost surely, 2^201103114300 is an apocalyptic number.

201103114300 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 201103114300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240850209600).

201103114300 is an abundant number, since it is smaller than the sum of its proper divisors (280597304900).

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

201103114300 is a wasteful number, since it uses less digits than its factorization.

201103114300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4556 (or 4549 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 201103114300 its reverse (3411301102), we get a palindrome (204514415402).

The spelling of 201103114300 in words is "two hundred one billion, one hundred three million, one hundred fourteen thousand, three hundred".