2122111100111 has 2 divisors, whose sum is σ = 2122111100112. Its totient is φ = 2122111100110.

The previous prime is 2122111100077. The next prime is 2122111100143. The reversal of 2122111100111 is 1110011112212.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2122111100111 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122111100411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061055550055 + 1061055550056.

It is an arithmetic number, because the mean of its divisors is an integer number (1061055550056).

Almost surely, 2^{2122111100111} is an apocalyptic number.

2122111100111 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122111100111 is an equidigital number, since it uses as much as digits as its factorization.

2122111100111 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 14.

Adding to 2122111100111 its reverse (1110011112212), we get a palindrome (3232122212323).

It can be divided in two parts, 2122111 and 100111, that added together give a palindrome (2222222).

The spelling of 2122111100111 in words is "two trillion, one hundred twenty-two billion, one hundred eleven million, one hundred thousand, one hundred eleven".