10301123200 has 96 divisors (see below), whose sum is σ = 25631172000. Its totient is φ = 4090629120.

The previous prime is 10301123197. The next prime is 10301123227. The reversal of 10301123200 is 232110301.

10301123200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10301123200² (a number of 21 digits) contains 22 as substring.

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, 433221 + ... + 456379.

It is an arithmetic number, because the mean of its divisors is an integer number (266991375).

Almost surely, 2^10301123200 is an apocalyptic number.

10301123200 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 10301123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12815586000).

10301123200 is an abundant number, since it is smaller than the sum of its proper divisors (15330048800).

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

10301123200 is a wasteful number, since it uses less digits than its factorization.

10301123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23322 (or 23305 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10301123200 its reverse (232110301), we get a palindrome (10533233501).

The spelling of 10301123200 in words is "ten billion, three hundred one million, one hundred twenty-three thousand, two hundred".