100435143400200 has 288 divisors, whose sum is σ = 386422158470400. Its totient is φ = 22900474414080.

The previous prime is 100435143400121. The next prime is 100435143400231. The reversal of 100435143400200 is 2004341534001.

It is a happy number.

100435143400200 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 3 + 51 + 4 + 3 + 400 + 200 = 666.

It is a super-3 number, since 3×100435143400200³ (a number of 43 digits) contains 333 as substring.

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, 4591152 + ... + 14897951.

It is an arithmetic number, because the mean of its divisors is an integer number (1341743605800).

Almost surely, 2^{100435143400200} is an apocalyptic number.

100435143400200 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 100435143400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193211079235200).

100435143400200 is an abundant number, since it is smaller than the sum of its proper divisors (285987015070200).

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

100435143400200 is a wasteful number, since it uses less digits than its factorization.

100435143400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19489541 (or 19489529 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 100435143400200 its reverse (2004341534001), we get a palindrome (102439484934201).

The spelling of 100435143400200 in words is "one hundred trillion, four hundred thirty-five billion, one hundred forty-three million, four hundred thousand, two hundred".