2100002100211 has 2 divisors, whose sum is σ = 2100002100212. Its totient is φ = 2100002100210.

The previous prime is 2100002100169. The next prime is 2100002100221. The reversal of 2100002100211 is 1120012000012.

It is an a-pointer prime, because the next prime (2100002100221) can be obtained adding 2100002100211 to its sum of digits (10).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2100002100211 - 2³⁵ = 2065642361843 is a prime.

It is a super-2 number, since 2×2100002100211² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2100002100221) 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 as a sum of consecutive naturals, namely, 1050001050105 + 1050001050106.

It is an arithmetic number, because the mean of its divisors is an integer number (1050001050106).

Almost surely, 2^{2100002100211} is an apocalyptic number.

2100002100211 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100002100211 is an equidigital number, since it uses as much as digits as its factorization.

2100002100211 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2100002100211 its reverse (1120012000012), we get a palindrome (3220014100223).

The spelling of 2100002100211 in words is "two trillion, one hundred billion, two million, one hundred thousand, two hundred eleven".