2121011120 has 80 divisors (see below), whose sum is σ = 5343006240. Its totient is φ = 779907072.

The previous prime is 2121011111. The next prime is 2121011141. The reversal of 2121011120 is 211101212.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 40346 + ... + 76614.

It is an arithmetic number, because the mean of its divisors is an integer number (66787578).

Almost surely, 2^2121011120 is an apocalyptic number.

2121011120 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 2121011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671503120).

2121011120 is an abundant number, since it is smaller than the sum of its proper divisors (3221995120).

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

2121011120 is a wasteful number, since it uses less digits than its factorization.

2121011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36342 (or 36336 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 2121011120 is about 46054.4364855331. The cubic root of 2121011120 is about 1284.8358574473.

Adding to 2121011120 its reverse (211101212), we get a palindrome (2332112332).

The spelling of 2121011120 in words is "two billion, one hundred twenty-one million, eleven thousand, one hundred twenty".