2122111010011 has 2 divisors, whose sum is σ = 2122111010012. Its totient is φ = 2122111010010.

The previous prime is 2122111009979. The next prime is 2122111010053. The reversal of 2122111010011 is 1100101112212.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2122111010011 - 2⁵ = 2122111009979 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122111009973 and 2122111010000.

It is not a weakly prime, because it can be changed into another prime (2122111019011) 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, 1061055505005 + 1061055505006.

It is an arithmetic number, because the mean of its divisors is an integer number (1061055505006).

Almost surely, 2^{2122111010011} is an apocalyptic number.

2122111010011 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122111010011 is an equidigital number, since it uses as much as digits as its factorization.

2122111010011 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 13.

Adding to 2122111010011 its reverse (1100101112212), we get a palindrome (3222212122223).

The spelling of 2122111010011 in words is "two trillion, one hundred twenty-two billion, one hundred eleven million, ten thousand, eleven".