2100122213 has 24 divisors (see below), whose sum is σ = 2543759064. Its totient is φ = 1727308800.

The previous prime is 2100122209. The next prime is 2100122221. The reversal of 2100122213 is 3122210012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 566773249 + 1533348964 = 23807^2 + 39158^2 .

It is not a de Polignac number, because 2100122213 - 2² = 2100122209 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100122513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113981 + ... + 131117.

It is an arithmetic number, because the mean of its divisors is an integer number (105989961).

Almost surely, 2^2100122213 is an apocalyptic number.

It is an amenable number.

2100122213 is a deficient number, since it is larger than the sum of its proper divisors (443636851).

2100122213 is a wasteful number, since it uses less digits than its factorization.

2100122213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17253 (or 17246 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2100122213 is about 45827.0903833093. The cubic root of 2100122213 is about 1280.6040063185.

Adding to 2100122213 its reverse (3122210012), we get a palindrome (5222332225).

The spelling of 2100122213 in words is "two billion, one hundred million, one hundred twenty-two thousand, two hundred thirteen".