2101111122211 has 2 divisors, whose sum is σ = 2101111122212. Its totient is φ = 2101111122210.

The previous prime is 2101111122161. The next prime is 2101111122223. The reversal of 2101111122211 is 1122211111012.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101111122211 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101111122911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050555561105 + 1050555561106.

It is an arithmetic number, because the mean of its divisors is an integer number (1050555561106).

Almost surely, 2^{2101111122211} is an apocalyptic number.

2101111122211 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101111122211 is an equidigital number, since it uses as much as digits as its factorization.

2101111122211 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 2101111122211 its reverse (1122211111012), we get a palindrome (3223322233223).

The spelling of 2101111122211 in words is "two trillion, one hundred one billion, one hundred eleven million, one hundred twenty-two thousand, two hundred eleven".