10300221103200 has 576 divisors, whose sum is σ = 39080160709632. Its totient is φ = 2307526041600.

The previous prime is 10300221103181. The next prime is 10300221103219. The reversal of 10300221103200 is 230112200301.

It is an interprime number because it is at equal distance from previous prime (10300221103181) and next prime (10300221103219).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10300221103200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 944708949 + ... + 944719851.

It is an arithmetic number, because the mean of its divisors is an integer number (67847501232).

Almost surely, 2^{10300221103200} is an apocalyptic number.

10300221103200 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 10300221103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19540080354816).

10300221103200 is an abundant number, since it is smaller than the sum of its proper divisors (28779939606432).

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

10300221103200 is a wasteful number, since it uses less digits than its factorization.

10300221103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12047 (or 12034 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10300221103200 its reverse (230112200301), we get a palindrome (10530333303501).

The spelling of 10300221103200 in words is "ten trillion, three hundred billion, two hundred twenty-one million, one hundred three thousand, two hundred".