2121100222120 has 256 divisors, whose sum is σ = 5382949478400. Its totient is φ = 745591080960.

The previous prime is 2121100222051. The next prime is 2121100222123. The reversal of 2121100222120 is 212220011212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2121100222094 and 2121100222103.

It is not an unprimeable number, because it can be changed into a prime (2121100222123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 973427191 + ... + 973429369.

It is an arithmetic number, because the mean of its divisors is an integer number (21027146400).

Almost surely, 2^{2121100222120} is an apocalyptic number.

2121100222120 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 2121100222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691474739200).

2121100222120 is an abundant number, since it is smaller than the sum of its proper divisors (3261849256280).

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

2121100222120 is a wasteful number, since it uses less digits than its factorization.

2121100222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2121100222120 its reverse (212220011212), we get a palindrome (2333320233332).

The spelling of 2121100222120 in words is "two trillion, one hundred twenty-one billion, one hundred million, two hundred twenty-two thousand, one hundred twenty".