2101110112211 has 16 divisors (see below), whose sum is σ = 2427137745120. Its totient is φ = 1797602734080.

The previous prime is 2101110112163. The next prime is 2101110112229. The reversal of 2101110112211 is 1122110111012.

It is a cyclic number.

It is not a de Polignac number, because 2101110112211 - 2⁶ = 2101110112147 is a prime.

It is a super-2 number, since 2×2101110112211² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2101110112511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2037755 + ... + 2890443.

It is an arithmetic number, because the mean of its divisors is an integer number (151696109070).

Almost surely, 2^{2101110112211} is an apocalyptic number.

2101110112211 is a deficient number, since it is larger than the sum of its proper divisors (326027632909).

2101110112211 is a wasteful number, since it uses less digits than its factorization.

2101110112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865894.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2101110112211 its reverse (1122110111012), we get a palindrome (3223220223223).

The spelling of 2101110112211 in words is "two trillion, one hundred one billion, one hundred ten million, one hundred twelve thousand, two hundred eleven".