2102020211200 has 240 divisors, whose sum is σ = 6409750374720. Its totient is φ = 665254379520.

The previous prime is 2102020211143. The next prime is 2102020211209. The reversal of 2102020211200 is 21120202012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (2102020211209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262491 + ... + 2067109.

It is an arithmetic number, because the mean of its divisors is an integer number (26707293228).

Almost surely, 2^{2102020211200} is an apocalyptic number.

2102020211200 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 2102020211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204875187360).

2102020211200 is an abundant number, since it is smaller than the sum of its proper divisors (4307730163520).

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

2102020211200 is a wasteful number, since it uses less digits than its factorization.

2102020211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804667 (or 1804646 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2102020211200 its reverse (21120202012), we get a palindrome (2123140413212).

The spelling of 2102020211200 in words is "two trillion, one hundred two billion, twenty million, two hundred eleven thousand, two hundred".