2122102221200 has 120 divisors (see below), whose sum is σ = 5510074452456. Its totient is φ = 780756480000.

The previous prime is 2122102221167. The next prime is 2122102221223. The reversal of 2122102221200 is 21222012212.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 810316830976 + 1311785390224 = 900176^2 + 1145332^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 735050 + ... + 2187350.

Almost surely, 2^{2122102221200} is an apocalyptic number.

2122102221200 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 2122102221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755037226228).

2122102221200 is an abundant number, since it is smaller than the sum of its proper divisors (3387972231256).

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

2122102221200 is a wasteful number, since it uses less digits than its factorization.

2122102221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452613 (or 1452602 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2122102221200 its reverse (21222012212), we get a palindrome (2143324233412).

The spelling of 2122102221200 in words is "two trillion, one hundred twenty-two billion, one hundred two million, two hundred twenty-one thousand, two hundred".