2101341200200 has 144 divisors (see below), whose sum is σ = 5397414269940. Its totient is φ = 760243545600.

The previous prime is 2101341200191. The next prime is 2101341200201. The reversal of 2101341200200 is 20021431012.

It can be written as a sum of positive squares in 6 ways, for example, as 964870069284 + 1136471130916 = 982278^2 + 1066054^2 .

It is not an unprimeable number, because it can be changed into a prime (2101341200201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4547014 + ... + 4987786.

Almost surely, 2^{2101341200200} is an apocalyptic number.

2101341200200 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 2101341200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698707134970).

2101341200200 is an abundant number, since it is smaller than the sum of its proper divisors (3296073069740).

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

2101341200200 is a wasteful number, since it uses less digits than its factorization.

2101341200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441008 (or 440988 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2101341200200 its reverse (20021431012), we get a palindrome (2121362631212).

The spelling of 2101341200200 in words is "two trillion, one hundred one billion, three hundred forty-one million, two hundred thousand, two hundred".