2111102012111 has 2 divisors, whose sum is σ = 2111102012112. Its totient is φ = 2111102012110.

The previous prime is 2111102012101. The next prime is 2111102012167. The reversal of 2111102012111 is 1112102011112.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2111102012111 - 2²⁶ = 2111034903247 is a prime.

It is a super-2 number, since 2×2111102012111² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2111102012101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055551006055 + 1055551006056.

It is an arithmetic number, because the mean of its divisors is an integer number (1055551006056).

Almost surely, 2^{2111102012111} is an apocalyptic number.

2111102012111 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111102012111 is an equidigital number, since it uses as much as digits as its factorization.

2111102012111 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 2111102012111 its reverse (1112102011112), we get a palindrome (3223204023223).

Subtracting from 2111102012111 its reverse (1112102011112), we obtain a palindrome (999000000999).

The spelling of 2111102012111 in words is "two trillion, one hundred eleven billion, one hundred two million, twelve thousand, one hundred eleven".