10130041212400 has 120 divisors (see below), whose sum is σ = 25785200735280. Its totient is φ = 3811270471680.

The previous prime is 10130041212341. The next prime is 10130041212407. The reversal of 10130041212400 is 421214003101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130041212407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10393191 + ... + 11326009.

It is an arithmetic number, because the mean of its divisors is an integer number (214876672794).

Almost surely, 2^{10130041212400} is an apocalyptic number.

10130041212400 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 10130041212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12892600367640).

10130041212400 is an abundant number, since it is smaller than the sum of its proper divisors (15655159522880).

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

10130041212400 is a wasteful number, since it uses less digits than its factorization.

10130041212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934451 (or 934440 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10130041212400 its reverse (421214003101), we get a palindrome (10551255215501).

The spelling of 10130041212400 in words is "ten trillion, one hundred thirty billion, forty-one million, two hundred twelve thousand, four hundred".