10301225453200 has 240 divisors, whose sum is σ = 28456552324800. Its totient is φ = 3548488652800.

The previous prime is 10301225453173. The next prime is 10301225453203. The reversal of 10301225453200 is 235452210301.

It is a super-2 number, since 2×10301225453200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10301225453203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6001191 + ... + 7524409.

It is an arithmetic number, because the mean of its divisors is an integer number (118568968020).

Almost surely, 2^{10301225453200} is an apocalyptic number.

10301225453200 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 10301225453200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14228276162400).

10301225453200 is an abundant number, since it is smaller than the sum of its proper divisors (18155326871600).

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

10301225453200 is a wasteful number, since it uses less digits than its factorization.

10301225453200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523330 (or 1523319 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 10301225453200 its reverse (235452210301), we get a palindrome (10536677663501).

The spelling of 10301225453200 in words is "ten trillion, three hundred one billion, two hundred twenty-five million, four hundred fifty-three thousand, two hundred".