2102211110211 has 8 divisors (see below), whose sum is σ = 2802961872720. Its totient is φ = 1401467210592.

The previous prime is 2102211110201. The next prime is 2102211110227. The reversal of 2102211110211 is 1120111122012.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2102211110211 - 2⁵ = 2102211110179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2102211110201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 952480 + ... + 2260893.

It is an arithmetic number, because the mean of its divisors is an integer number (350370234090).

Almost surely, 2^{2102211110211} is an apocalyptic number.

2102211110211 is a deficient number, since it is larger than the sum of its proper divisors (700750762509).

2102211110211 is a wasteful number, since it uses less digits than its factorization.

2102211110211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431445.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2102211110211 its reverse (1120111122012), we get a palindrome (3222322232223).

The spelling of 2102211110211 in words is "two trillion, one hundred two billion, two hundred eleven million, one hundred ten thousand, two hundred eleven".