2121211031111 has 2 divisors, whose sum is σ = 2121211031112. Its totient is φ = 2121211031110.

The previous prime is 2121211031099. The next prime is 2121211031183. The reversal of 2121211031111 is 1111301121212.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2121211031111 - 2¹⁸ = 2121210768967 is a prime.

It is a super-3 number, since 3×2121211031111³ (a number of 38 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2121211031111.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121211031311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060605515555 + 1060605515556.

It is an arithmetic number, because the mean of its divisors is an integer number (1060605515556).

Almost surely, 2^{2121211031111} is an apocalyptic number.

2121211031111 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121211031111 is an equidigital number, since it uses as much as digits as its factorization.

2121211031111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 2121211031111 its reverse (1111301121212), we get a palindrome (3232512152323).

The spelling of 2121211031111 in words is "two trillion, one hundred twenty-one billion, two hundred eleven million, thirty-one thousand, one hundred eleven".