2101112110211 has 2 divisors, whose sum is σ = 2101112110212. Its totient is φ = 2101112110210.

The previous prime is 2101112110183. The next prime is 2101112110219. The reversal of 2101112110211 is 1120112111012.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2101112110211 - 2²⁶ = 2101045001347 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101112110219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050556055105 + 1050556055106.

It is an arithmetic number, because the mean of its divisors is an integer number (1050556055106).

Almost surely, 2^{2101112110211} is an apocalyptic number.

2101112110211 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101112110211 is an equidigital number, since it uses as much as digits as its factorization.

2101112110211 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 2101112110211 its reverse (1120112111012), we get a palindrome (3221224221223).

The spelling of 2101112110211 in words is "two trillion, one hundred one billion, one hundred twelve million, one hundred ten thousand, two hundred eleven".