10201103300 has 72 divisors (see below), whose sum is σ = 23461076520. Its totient is φ = 3836723200.

The previous prime is 10201103299. The next prime is 10201103309. The reversal of 10201103300 is 330110201.

It can be written as a sum of positive squares in 12 ways, for example, as 5462983744 + 4738119556 = 73912^2 + 68834^2 .

It is not an unprimeable number, because it can be changed into a prime (10201103309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2311496 + ... + 2315904.

It is an arithmetic number, because the mean of its divisors is an integer number (325848285).

Almost surely, 2^10201103300 is an apocalyptic number.

10201103300 is a gapful number since it is divisible by the number (10) 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 10201103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11730538260).

10201103300 is an abundant number, since it is smaller than the sum of its proper divisors (13259973220).

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

10201103300 is a wasteful number, since it uses less digits than its factorization.

10201103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5801 (or 5794 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10201103300 its reverse (330110201), we get a palindrome (10531213501).

The spelling of 10201103300 in words is "ten billion, two hundred one million, one hundred three thousand, three hundred".