10203122131200 has 1296 divisors, whose sum is σ = 38275109361216. Its totient is φ = 2590728192000.

The previous prime is 10203122131199. The next prime is 10203122131207. The reversal of 10203122131200 is 213122130201.

10203122131200 is a `hidden beast` number, since 1 + 0 + 20 + 312 + 2 + 131 + 200 = 666.

It is a super-3 number, since 3×10203122131200³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10203122131207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23031878179 + ... + 23031878621.

It is an arithmetic number, because the mean of its divisors is an integer number (29533263396).

Almost surely, 2^{10203122131200} is an apocalyptic number.

10203122131200 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 10203122131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19137554680608).

10203122131200 is an abundant number, since it is smaller than the sum of its proper divisors (28071987230016).

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

10203122131200 is a wasteful number, since it uses less digits than its factorization.

10203122131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10203122131200 its reverse (213122130201), we get a palindrome (10416244261401).

Subtracting from 10203122131200 its reverse (213122130201), we obtain a palindrome (9990000000999).

The spelling of 10203122131200 in words is "ten trillion, two hundred three billion, one hundred twenty-two million, one hundred thirty-one thousand, two hundred".