10200300324144 has 320 divisors, whose sum is σ = 32655699901440. Its totient is φ = 2681397411840.

The previous prime is 10200300324139. The next prime is 10200300324191. The reversal of 10200300324144 is 44142300300201.

It is a super-2 number, since 2×10200300324144² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16881784 + ... + 17475560.

It is an arithmetic number, because the mean of its divisors is an integer number (102049062192).

Almost surely, 2^{10200300324144} is an apocalyptic number.

10200300324144 is a gapful number since it is divisible by the number (14) 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 10200300324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16327849950720).

10200300324144 is an abundant number, since it is smaller than the sum of its proper divisors (22455399577296).

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

10200300324144 is a wasteful number, since it uses less digits than its factorization.

10200300324144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593908 (or 593902 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10200300324144 its reverse (44142300300201), we get a palindrome (54342600624345).

The spelling of 10200300324144 in words is "ten trillion, two hundred billion, three hundred million, three hundred twenty-four thousand, one hundred forty-four".