101303301200 has 60 divisors (see below), whose sum is σ = 243741332220. Its totient is φ = 40461358080.

The previous prime is 101303301199. The next prime is 101303301217. The reversal of 101303301200 is 2103303101.

It can be written as a sum of positive squares in 6 ways, for example, as 862479424 + 100440821776 = 29368^2 + 316924^2 .

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 11 ways as a sum of consecutive naturals, for example, 83756 + ... + 457844.

It is an arithmetic number, because the mean of its divisors is an integer number (4062355537).

Almost surely, 2^101303301200 is an apocalyptic number.

101303301200 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 101303301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121870666110).

101303301200 is an abundant number, since it is smaller than the sum of its proper divisors (142438031020).

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

101303301200 is a wasteful number, since it uses less digits than its factorization.

101303301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374784 (or 374773 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 101303301200 its reverse (2103303101), we get a palindrome (103406604301).

The spelling of 101303301200 in words is "one hundred one billion, three hundred three million, three hundred one thousand, two hundred".