2101200100213 has 2 divisors, whose sum is σ = 2101200100214. Its totient is φ = 2101200100212.

The previous prime is 2101200100211. The next prime is 2101200100229. The reversal of 2101200100213 is 3120010021012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2079877383684 + 21322716529 = 1442178^2 + 146023^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101200100213 - 2¹ = 2101200100211 is a prime.

It is a super-2 number, since 2×2101200100213² (a number of 25 digits) contains 22 as substring.

Together with 2101200100211, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2101200100193 and 2101200100202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101200100211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050600050106 + 1050600050107.

It is an arithmetic number, because the mean of its divisors is an integer number (1050600050107).

Almost surely, 2^{2101200100213} is an apocalyptic number.

It is an amenable number.

2101200100213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101200100213 is an equidigital number, since it uses as much as digits as its factorization.

2101200100213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2101200100213 its reverse (3120010021012), we get a palindrome (5221210121225).

The spelling of 2101200100213 in words is "two trillion, one hundred one billion, two hundred million, one hundred thousand, two hundred thirteen".