2112210010200 has 192 divisors, whose sum is σ = 6561843765120. Its totient is φ = 562053888000.

The previous prime is 2112210010193. The next prime is 2112210010277. The reversal of 2112210010200 is 20100122112.

It is a super-2 number, since 2×2112210010200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1050327195 + ... + 1050329205.

It is an arithmetic number, because the mean of its divisors is an integer number (34176269610).

Almost surely, 2^{2112210010200} is an apocalyptic number.

2112210010200 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 2112210010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3280921882560).

2112210010200 is an abundant number, since it is smaller than the sum of its proper divisors (4449633754920).

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

2112210010200 is a wasteful number, since it uses less digits than its factorization.

2112210010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4898 (or 4889 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2112210010200 its reverse (20100122112), we get a palindrome (2132310132312).

The spelling of 2112210010200 in words is "two trillion, one hundred twelve billion, two hundred ten million, ten thousand, two hundred".