2121211116 has 36 divisors (see below), whose sum is σ = 5366221224. Its totient is φ = 706507200.

The previous prime is 2121211111. The next prime is 2121211139. The reversal of 2121211116 is 6111121212.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2121211111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23656 + ... + 69296.

Almost surely, 2^2121211116 is an apocalyptic number.

It is an amenable number.

2121211116 is an abundant number, since it is smaller than the sum of its proper divisors (3245010108).

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

2121211116 is a wasteful number, since it uses less digits than its factorization.

2121211116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46942 (or 46937 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

The square root of 2121211116 is about 46056.6077343957. The cubic root of 2121211116 is about 1284.8762397526.

Adding to 2121211116 its reverse (6111121212), we get a palindrome (8232332328).

The spelling of 2121211116 in words is "two billion, one hundred twenty-one million, two hundred eleven thousand, one hundred sixteen".