2102100002211 has 24 divisors (see below), whose sum is σ = 3082305856000. Its totient is φ = 1273362243120.

The previous prime is 2102100002179. The next prime is 2102100002267. The reversal of 2102100002211 is 1122000012012.

It is not a de Polignac number, because 2102100002211 - 2⁵ = 2102100002179 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2102100002011) 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 23 ways as a sum of consecutive naturals, for example, 722815 + ... + 2174088.

Almost surely, 2^{2102100002211} is an apocalyptic number.

2102100002211 is a deficient number, since it is larger than the sum of its proper divisors (980205853789).

2102100002211 is a wasteful number, since it uses less digits than its factorization.

2102100002211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898927 (or 2898916 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2102100002211 its reverse (1122000012012), we get a palindrome (3224100014223).

The spelling of 2102100002211 in words is "two trillion, one hundred two billion, one hundred million, two thousand, two hundred eleven".