10200410424200 has 144 divisors (see below), whose sum is σ = 26288426897280. Its totient is φ = 3673190794240.

The previous prime is 10200410424151. The next prime is 10200410424221. The reversal of 10200410424200 is 242401400201.

10200410424200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2507072 + ... + 5165871.

It is an arithmetic number, because the mean of its divisors is an integer number (182558520120).

Almost surely, 2^{10200410424200} is an apocalyptic number.

10200410424200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200410424200 is an abundant number, since it is smaller than the sum of its proper divisors (16088016473080).

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

10200410424200 is a wasteful number, since it uses less digits than its factorization.

10200410424200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7673016 (or 7672990 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10200410424200 its reverse (242401400201), we get a palindrome (10442811824401).

The spelling of 10200410424200 in words is "ten trillion, two hundred billion, four hundred ten million, four hundred twenty-four thousand, two hundred".