2111111161111 has 2 divisors, whose sum is σ = 2111111161112. Its totient is φ = 2111111161110.

The previous prime is 2111111161037. The next prime is 2111111161123. The reversal of 2111111161111 is 1111611111112.

It is a m-pointer prime, because the next prime (2111111161123) can be obtained adding 2111111161111 to its product of digits (12).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2111111161111 - 2³⁵ = 2076751422743 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2111111161141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055555580555 + 1055555580556.

It is an arithmetic number, because the mean of its divisors is an integer number (1055555580556).

Almost surely, 2^{2111111161111} is an apocalyptic number.

2111111161111 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111111161111 is an equidigital number, since it uses as much as digits as its factorization.

2111111161111 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12, while the sum is 19.

Adding to 2111111161111 its reverse (1111611111112), we get a palindrome (3222722272223).

The spelling of 2111111161111 in words is "two trillion, one hundred eleven billion, one hundred eleven million, one hundred sixty-one thousand, one hundred eleven".