2122022102200 has 768 divisors, whose sum is σ = 7016300928000. Its totient is φ = 578223360000.

The previous prime is 2122022102183. The next prime is 2122022102261. The reversal of 2122022102200 is 22012202212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 642840550 + ... + 642843850.

It is an arithmetic number, because the mean of its divisors is an integer number (9135808500).

Almost surely, 2^{2122022102200} is an apocalyptic number.

2122022102200 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 2122022102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508150464000).

2122022102200 is an abundant number, since it is smaller than the sum of its proper divisors (4894278825800).

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

2122022102200 is a wasteful number, since it uses less digits than its factorization.

2122022102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2122022102200 its reverse (22012202212), we get a palindrome (2144034304412).

It can be divided in two parts, 2122022 and 102200, that added together give a palindrome (2224222).

The spelling of 2122022102200 in words is "two trillion, one hundred twenty-two billion, twenty-two million, one hundred two thousand, two hundred".