2110101200200 has 144 divisors (see below), whose sum is σ = 5708259396900. Its totient is φ = 723298867200.

The previous prime is 2110101200177. The next prime is 2110101200203. The reversal of 2110101200200 is 20021010112.

It can be written as a sum of positive squares in 6 ways, for example, as 1029628266436 + 1080472933764 = 1014706^2 + 1039458^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2110101200203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47890180 + ... + 47934220.

Almost surely, 2^{2110101200200} is an apocalyptic number.

2110101200200 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 2110101200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854129698450).

2110101200200 is an abundant number, since it is smaller than the sum of its proper divisors (3598158196700).

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

2110101200200 is a wasteful number, since it uses less digits than its factorization.

2110101200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48960 (or 48944 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2110101200200 its reverse (20021010112), we get a palindrome (2130122210312).

The spelling of 2110101200200 in words is "two trillion, one hundred ten billion, one hundred one million, two hundred thousand, two hundred".