2121100121120 has 192 divisors, whose sum is σ = 5586957089280. Its totient is φ = 756255817728.

The previous prime is 2121100121083. The next prime is 2121100121183. The reversal of 2121100121120 is 211210011212.

It is a junction number, because it is equal to n+sod(n) for n = 2121100121095 and 2121100121104.

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, 241496249 + ... + 241505031.

It is an arithmetic number, because the mean of its divisors is an integer number (29098734840).

Almost surely, 2^{2121100121120} is an apocalyptic number.

2121100121120 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 2121100121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793478544640).

2121100121120 is an abundant number, since it is smaller than the sum of its proper divisors (3465856968160).

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

2121100121120 is a wasteful number, since it uses less digits than its factorization.

2121100121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13507 (or 13499 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2121100121120 its reverse (211210011212), we get a palindrome (2332310132332).

The spelling of 2121100121120 in words is "two trillion, one hundred twenty-one billion, one hundred million, one hundred twenty-one thousand, one hundred twenty".