10141402024200 has 384 divisors, whose sum is σ = 33267220225920. Its totient is φ = 2552667955200.

The previous prime is 10141402024189. The next prime is 10141402024213. The reversal of 10141402024200 is 242020414101.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98805307 + ... + 98907893.

It is an arithmetic number, because the mean of its divisors is an integer number (86633386005).

Almost surely, 2^{10141402024200} is an apocalyptic number.

10141402024200 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 10141402024200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16633610112960).

10141402024200 is an abundant number, since it is smaller than the sum of its proper divisors (23125818201720).

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

10141402024200 is a wasteful number, since it uses less digits than its factorization.

10141402024200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102777 (or 102768 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 10141402024200 its reverse (242020414101), we get a palindrome (10383422438301).

The spelling of 10141402024200 in words is "ten trillion, one hundred forty-one billion, four hundred two million, twenty-four thousand, two hundred".