2111022121120 has 192 divisors, whose sum is σ = 5498049820032. Its totient is φ = 759559680000.

The previous prime is 2111022121051. The next prime is 2111022121123. The reversal of 2111022121120 is 211212201112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2111022121094 and 2111022121103.

It is not an unprimeable number, because it can be changed into a prime (2111022121123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394802287 + ... + 394807633.

It is an arithmetic number, because the mean of its divisors is an integer number (28635676146).

Almost surely, 2^{2111022121120} is an apocalyptic number.

2111022121120 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 2111022121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749024910016).

2111022121120 is an abundant number, since it is smaller than the sum of its proper divisors (3387027698912).

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

2111022121120 is a wasteful number, since it uses less digits than its factorization.

2111022121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7695 (or 7687 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2111022121120 its reverse (211212201112), we get a palindrome (2322234322232).

The spelling of 2111022121120 in words is "two trillion, one hundred eleven billion, twenty-two million, one hundred twenty-one thousand, one hundred twenty".