10301023200 has 432 divisors, whose sum is σ = 36797801040. Its totient is φ = 2501591040.

The previous prime is 10301023193. The next prime is 10301023207. The reversal of 10301023200 is 232010301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10301023193) and next prime (10301023207).

It is a super-2 number, since 2×10301023200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301023207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44210284 + ... + 44210516.

It is an arithmetic number, because the mean of its divisors is an integer number (85180095).

Almost surely, 2^10301023200 is an apocalyptic number.

10301023200 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 10301023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18398900520).

10301023200 is an abundant number, since it is smaller than the sum of its proper divisors (26496777840).

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

10301023200 is a wasteful number, since it uses less digits than its factorization.

10301023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10301023200 its reverse (232010301), we get a palindrome (10533033501).

The spelling of 10301023200 in words is "ten billion, three hundred one million, twenty-three thousand, two hundred".