2121111122120 has 32 divisors (see below), whose sum is σ = 5023684238400. Its totient is φ = 803789477568.

The previous prime is 2121111122111. The next prime is 2121111122129. The reversal of 2121111122120 is 212211111212.

It is an interprime number because it is at equal distance from previous prime (2121111122111) and next prime (2121111122129).

It is a super-2 number, since 2×2121111122120² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2121111122129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1395467084 + ... + 1395468603.

It is an arithmetic number, because the mean of its divisors is an integer number (156990132450).

Almost surely, 2^{2121111122120} is an apocalyptic number.

2121111122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121111122120 is an abundant number, since it is smaller than the sum of its proper divisors (2902573116280).

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

2121111122120 is a wasteful number, since it uses less digits than its factorization.

2121111122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790935717 (or 2790935713 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 2121111122120 its reverse (212211111212), we get a palindrome (2333322233332).

The spelling of 2121111122120 in words is "two trillion, one hundred twenty-one billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twenty".