2121111018 has 96 divisors (see below), whose sum is σ = 5228496000. Its totient is φ = 616076928.

The previous prime is 2121111007. The next prime is 2121111019. The reversal of 2121111018 is 8101111212.

It is a super-2 number, since 2×2121111018² = 8998223901361992648, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2121111019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1550971 + ... + 1552337.

It is an arithmetic number, because the mean of its divisors is an integer number (54463500).

Almost surely, 2^2121111018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121111018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614248000).

2121111018 is an abundant number, since it is smaller than the sum of its proper divisors (3107384982).

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

2121111018 is a wasteful number, since it uses less digits than its factorization.

2121111018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The square root of 2121111018 is about 46055.5210371135. The cubic root of 2121111018 is about 1284.8560287257.

The spelling of 2121111018 in words is "two billion, one hundred twenty-one million, one hundred eleven thousand, eighteen".