2101100213 has 2 divisors, whose sum is σ = 2101100214. Its totient is φ = 2101100212.

The previous prime is 2101100203. The next prime is 2101100233. The reversal of 2101100213 is 3120011012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2077354084 + 23746129 = 45578^2 + 4873^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101100213 - 2²⁰ = 2100051637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101100194 and 2101100203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101100203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050550106 + 1050550107.

It is an arithmetic number, because the mean of its divisors is an integer number (1050550107).

Almost surely, 2^2101100213 is an apocalyptic number.

It is an amenable number.

2101100213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101100213 is an equidigital number, since it uses as much as digits as its factorization.

2101100213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2101100213 is about 45837.7596856565. The cubic root of 2101100213 is about 1280.8027624270.

Adding to 2101100213 its reverse (3120011012), we get a palindrome (5221111225).

The spelling of 2101100213 in words is "two billion, one hundred one million, one hundred thousand, two hundred thirteen".