2100110220200 has 96 divisors (see below), whose sum is σ = 5056577307000. Its totient is φ = 810201907200.

The previous prime is 2100110220191. The next prime is 2100110220223. The reversal of 2100110220200 is 20220110012.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 4512346276 + 2095597873924 = 67174^2 + 1447618^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5193320 + ... + 5583080.

Almost surely, 2^{2100110220200} is an apocalyptic number.

2100110220200 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 2100110220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528288653500).

2100110220200 is an abundant number, since it is smaller than the sum of its proper divisors (2956467086800).

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

2100110220200 is a wasteful number, since it uses less digits than its factorization.

2100110220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390735 (or 390726 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2100110220200 its reverse (20220110012), we get a palindrome (2120330330212).

The spelling of 2100110220200 in words is "two trillion, one hundred billion, one hundred ten million, two hundred twenty thousand, two hundred".