2121101201120 has 96 divisors (see below), whose sum is σ = 5467101907680. Its totient is φ = 771246653440.

The previous prime is 2121101201111. The next prime is 2121101201171. The reversal of 2121101201120 is 211021011212.

It is a junction number, because it is equal to n+sod(n) for n = 2121101201095 and 2121101201104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25247504 + ... + 25331376.

It is an arithmetic number, because the mean of its divisors is an integer number (56948978205).

Almost surely, 2^{2121101201120} is an apocalyptic number.

2121101201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121101201120 is an abundant number, since it is smaller than the sum of its proper divisors (3346000706560).

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

2121101201120 is a wasteful number, since it uses less digits than its factorization.

2121101201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98268 (or 98260 counting only the distinct ones).

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

Adding to 2121101201120 its reverse (211021011212), we get a palindrome (2332122212332).

The spelling of 2121101201120 in words is "two trillion, one hundred twenty-one billion, one hundred one million, two hundred one thousand, one hundred twenty".