2121100211 has 2 divisors, whose sum is σ = 2121100212. Its totient is φ = 2121100210.

The previous prime is 2121100187. The next prime is 2121100213. The reversal of 2121100211 is 1120011212.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2121100211 - 2¹⁴ = 2121083827 is a prime.

It is a super-2 number, since 2×2121100211² = 8998132210208489042, which contains 22 as substring.

Together with 2121100213, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121100192 and 2121100201.

It is not a weakly prime, because it can be changed into another prime (2121100213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060550105 + 1060550106.

It is an arithmetic number, because the mean of its divisors is an integer number (1060550106).

Almost surely, 2^2121100211 is an apocalyptic number.

2121100211 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121100211 is an equidigital number, since it uses as much as digits as its factorization.

2121100211 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 2121100211 is about 46055.4037111825. The cubic root of 2121100211 is about 1284.8538466204.

Adding to 2121100211 its reverse (1120011212), we get a palindrome (3241111423).

The spelling of 2121100211 in words is "two billion, one hundred twenty-one million, one hundred thousand, two hundred eleven".