2121111112120 has 384 divisors, whose sum is σ = 6586922462400. Its totient is φ = 604219392000.

The previous prime is 2121111112117. The next prime is 2121111112139. The reversal of 2121111112120 is 212111111212.

It is a super-2 number, since 2×2121111112120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2121111112094 and 2121111112103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28270816 + ... + 28345744.

Almost surely, 2^{2121111112120} is an apocalyptic number.

2121111112120 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 2121111112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293461231200).

2121111112120 is an abundant number, since it is smaller than the sum of its proper divisors (4465811350280).

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

2121111112120 is a wasteful number, since it uses less digits than its factorization.

2121111112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75079 (or 75068 counting only the distinct ones).

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

Adding to 2121111112120 its reverse (212111111212), we get a palindrome (2333222223332).

It can be divided in two parts, 212111 and 1112120, that added together give a palindrome (1324231).

The spelling of 2121111112120 in words is "two trillion, one hundred twenty-one billion, one hundred eleven million, one hundred twelve thousand, one hundred twenty".