2102111110211 has 12 divisors (see below), whose sum is σ = 2445359611968. Its totient is φ = 1801775121552.

The previous prime is 2102111110171. The next prime is 2102111110217. The reversal of 2102111110211 is 1120111112012.

It is not a de Polignac number, because 2102111110211 - 2³⁰ = 2101037368387 is a prime.

It is a super-2 number, since 2×2102111110211² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2102111110217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2374190 + ... + 3137036.

It is an arithmetic number, because the mean of its divisors is an integer number (203779967664).

Almost surely, 2^{2102111110211} is an apocalyptic number.

2102111110211 is a deficient number, since it is larger than the sum of its proper divisors (343248501757).

2102111110211 is an equidigital number, since it uses as much as digits as its factorization.

2102111110211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819098 (or 819091 counting only the distinct ones).

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

Adding to 2102111110211 its reverse (1120111112012), we get a palindrome (3222222222223).

The spelling of 2102111110211 in words is "two trillion, one hundred two billion, one hundred eleven million, one hundred ten thousand, two hundred eleven".