2100302211200 has 192 divisors, whose sum is σ = 5320437673320. Its totient is φ = 818783846400.

The previous prime is 2100302211187. The next prime is 2100302211211. The reversal of 2100302211200 is 21122030012.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 615823145536 + 1484479065664 = 784744^2 + 1218392^2 .

It is a super-2 number, since 2×2100302211200² (a number of 25 digits) contains 22 as substring.

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, 135521852 + ... + 135537348.

Almost surely, 2^{2100302211200} is an apocalyptic number.

2100302211200 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 2100302211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660218836660).

2100302211200 is an abundant number, since it is smaller than the sum of its proper divisors (3220135462120).

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

2100302211200 is a wasteful number, since it uses less digits than its factorization.

2100302211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16595 (or 16578 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2100302211200 its reverse (21122030012), we get a palindrome (2121424241212).

The spelling of 2100302211200 in words is "two trillion, one hundred billion, three hundred two million, two hundred eleven thousand, two hundred".