10200144000 has 512 divisors, whose sum is σ = 35607237120. Its totient is φ = 2580480000.

The previous prime is 10200143969. The next prime is 10200144061. The reversal of 10200144000 is 44100201.

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

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, 139727964 + ... + 139728036.

It is an arithmetic number, because the mean of its divisors is an integer number (69545385).

Almost surely, 2^10200144000 is an apocalyptic number.

10200144000 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 10200144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17803618560).

10200144000 is an abundant number, since it is smaller than the sum of its proper divisors (25407093120).

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

10200144000 is an equidigital number, since it uses as much as digits as its factorization.

10200144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10200144000 its reverse (44100201), we get a palindrome (10244244201).

The spelling of 10200144000 in words is "ten billion, two hundred million, one hundred forty-four thousand".