200100211010000 has 200 divisors, whose sum is σ = 558846088257600. Its totient is φ = 67964608512000.

The previous prime is 200100211009957. The next prime is 200100211010009. The reversal of 200100211010000 is 10112001002.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 200100211010000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200100211010009) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 5867825 + ... + 20847824.

It is an arithmetic number, because the mean of its divisors is an integer number (2794230441288).

Almost surely, 2^{200100211010000} is an apocalyptic number.

200100211010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200100211010000 is an abundant number, since it is smaller than the sum of its proper divisors (358745877247600).

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

200100211010000 is a wasteful number, since it uses less digits than its factorization.

200100211010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26715791 (or 26715770 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 200100211010000 its reverse (10112001002), we get a palindrome (200110323011002).

The spelling of 200100211010000 in words is "two hundred trillion, one hundred billion, two hundred eleven million, ten thousand".