2122100121120 has 192 divisors, whose sum is σ = 7642333359360. Its totient is φ = 484875399168.

The previous prime is 2122100121073. The next prime is 2122100121133. The reversal of 2122100121120 is 211210012212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2122100121120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9257814 + ... + 9484266.

It is an arithmetic number, because the mean of its divisors is an integer number (39803819580).

Almost surely, 2^{2122100121120} is an apocalyptic number.

2122100121120 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 2122100121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821166679680).

2122100121120 is an abundant number, since it is smaller than the sum of its proper divisors (5520233238240).

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

2122100121120 is a wasteful number, since it uses less digits than its factorization.

2122100121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229267 (or 229259 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2122100121120 its reverse (211210012212), we get a palindrome (2333310133332).

The spelling of 2122100121120 in words is "two trillion, one hundred twenty-two billion, one hundred million, one hundred twenty-one thousand, one hundred twenty".