2102102212211 has 24 divisors (see below), whose sum is σ = 2327797177632. Its totient is φ = 1893253824000.

The previous prime is 2102102212193. The next prime is 2102102212213. The reversal of 2102102212211 is 1122122012012.

It is a de Polignac number, because none of the positive numbers 2^k-2102102212211 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2102102212211.

It is not an unprimeable number, because it can be changed into a prime (2102102212213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467390 + ... + 2103011.

It is an arithmetic number, because the mean of its divisors is an integer number (96991549068).

Almost surely, 2^{2102102212211} is an apocalyptic number.

2102102212211 is a deficient number, since it is larger than the sum of its proper divisors (225694965421).

2102102212211 is a wasteful number, since it uses less digits than its factorization.

2102102212211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570523 (or 2570492 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2102102212211 its reverse (1122122012012), we get a palindrome (3224224224223).

The spelling of 2102102212211 in words is "two trillion, one hundred two billion, one hundred two million, two hundred twelve thousand, two hundred eleven".