2121111000 has 96 divisors (see below), whose sum is σ = 7169385600. Its totient is φ = 565627200.

The previous prime is 2121110983. The next prime is 2121111007. The reversal of 2121111000 is 1111212.

It is a happy number.

It is a super-2 number, since 2×2121111000² = 8998223748642000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121111007) 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 23 ways as a sum of consecutive naturals, for example, 108840 + ... + 126839.

It is an arithmetic number, because the mean of its divisors is an integer number (74681100).

Almost surely, 2^2121111000 is an apocalyptic number.

2121111000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121111000 is an abundant number, since it is smaller than the sum of its proper divisors (5048274600).

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

2121111000 is a wasteful number, since it uses less digits than its factorization.

2121111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235706 (or 235689 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2121111000 is about 46055.5208416971. The cubic root of 2121111000 is about 1284.8560250912.

Adding to 2121111000 its reverse (1111212), we get a palindrome (2122222212).

The spelling of 2121111000 in words is "two billion, one hundred twenty-one million, one hundred eleven thousand".