2120211121 has 24 divisors (see below), whose sum is σ = 2570927040. Its totient is φ = 1712533536.

The previous prime is 2120211109. The next prime is 2120211157. The reversal of 2120211121 is 1211120212.

It is not a de Polignac number, because 2120211121 - 2¹⁵ = 2120178353 is a prime.

It is a super-2 number, since 2×2120211121² = 8990590395224153282, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120211101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495690 + ... + 499948.

It is an arithmetic number, because the mean of its divisors is an integer number (107121960).

Almost surely, 2^2120211121 is an apocalyptic number.

It is an amenable number.

2120211121 is a deficient number, since it is larger than the sum of its proper divisors (450715919).

2120211121 is a wasteful number, since it uses less digits than its factorization.

2120211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501 (or 4482 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 2120211121 is about 46045.7503033668. The cubic root of 2120211121 is about 1284.6742998065.

Adding to 2120211121 its reverse (1211120212), we get a palindrome (3331331333).

Subtracting from 2120211121 its reverse (1211120212), we obtain a palindrome (909090909).

It can be divided in two parts, 21202 and 11121, that added together give a palindrome (32323).

The spelling of 2120211121 in words is "two billion, one hundred twenty million, two hundred eleven thousand, one hundred twenty-one".