10231340020200 has 288 divisors, whose sum is σ = 39180015365400. Its totient is φ = 2370337505280.

The previous prime is 10231340020151. The next prime is 10231340020241. The reversal of 10231340020200 is 202004313201.

10231340020200 is a `hidden beast` number, since 10 + 2 + 31 + 3 + 400 + 20 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 329505848676 + 9901834171524 = 574026^2 + 3146718^2 .

It is a super-2 number, since 2×10231340020200² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12462105 + ... + 13257704.

Almost surely, 2^{10231340020200} is an apocalyptic number.

10231340020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10231340020200 is an abundant number, since it is smaller than the sum of its proper divisors (28948675345200).

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

10231340020200 is a wasteful number, since it uses less digits than its factorization.

10231340020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25719861 (or 25719849 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10231340020200 its reverse (202004313201), we get a palindrome (10433344333401).

The spelling of 10231340020200 in words is "ten trillion, two hundred thirty-one billion, three hundred forty million, twenty thousand, two hundred".