2121113130 has 64 divisors (see below), whose sum is σ = 5402142720. Its totient is φ = 531857216.

The previous prime is 2121113129. The next prime is 2121113131. The reversal of 2121113130 is 313111212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2121113129) and next prime (2121113131).

It is a super-3 number, since 3×2121113130³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2121113131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14659 + ... + 66761.

It is an arithmetic number, because the mean of its divisors is an integer number (84408480).

Almost surely, 2^2121113130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121113130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701071360).

2121113130 is an abundant number, since it is smaller than the sum of its proper divisors (3281029590).

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

2121113130 is a wasteful number, since it uses less digits than its factorization.

2121113130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52195.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 2121113130 is about 46055.5439659548. The cubic root of 2121113130 is about 1284.8564551712.

Adding to 2121113130 its reverse (313111212), we get a palindrome (2434224342).

The spelling of 2121113130 in words is "two billion, one hundred twenty-one million, one hundred thirteen thousand, one hundred thirty".