2121221122200 has 288 divisors, whose sum is σ = 7325075175600. Its totient is φ = 549710945280.

The previous prime is 2121221122193. The next prime is 2121221122283. The reversal of 2121221122200 is 22211221212.

It is a happy number.

2121221122200 is a `hidden beast` number, since 2 + 121 + 221 + 122 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56791131 + ... + 56828469.

Almost surely, 2^{2121221122200} is an apocalyptic number.

2121221122200 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 2121221122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662537587800).

2121221122200 is an abundant number, since it is smaller than the sum of its proper divisors (5203854053400).

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

2121221122200 is a wasteful number, since it uses less digits than its factorization.

2121221122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38251 (or 38239 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2121221122200 its reverse (22211221212), we get a palindrome (2143432343412).

The spelling of 2121221122200 in words is "two trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred".