200100102000000 has 448 divisors, whose sum is σ = 685818821406720. Its totient is φ = 51638688000000.

The previous prime is 200100101999977. The next prime is 200100102000017. The reversal of 200100102000000 is 201001002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 185462097 + ... + 186537903.

Almost surely, 2^{200100102000000} is an apocalyptic number.

200100102000000 is a gapful number since it is divisible by the number (20) 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 200100102000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342909410703360).

200100102000000 is an abundant number, since it is smaller than the sum of its proper divisors (485718719406720).

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

200100102000000 is an frugal number, since it uses more digits than its factorization.

200100102000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075885 (or 1075848 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 200100102000000 its reverse (201001002), we get a palindrome (200100303001002).

The spelling of 200100102000000 in words is "two hundred trillion, one hundred billion, one hundred two million", and thus it is an aban number.