2100213 has 6 divisors (see below), whose sum is σ = 3033654. Its totient is φ = 1400136.

The previous prime is 2100193. The next prime is 2100221. The reversal of 2100213 is 3120012.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1096209 + 1004004 = 1047^2 + 1002^2 .

It is not a de Polignac number, because 2100213 - 2⁵ = 2100181 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 233357 = 2100213 / (2 + 1 + 0 + 0 + 2 + 1 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 2100195 and 2100204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100253) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 116670 + ... + 116687.

It is an arithmetic number, because the mean of its divisors is an integer number (505609).

2^2100213 is an apocalyptic number.

It is an amenable number.

2100213 is a deficient number, since it is larger than the sum of its proper divisors (933441).

2100213 is a wasteful number, since it uses less digits than its factorization.

2100213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233363 (or 233360 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2100213 is about 1449.2111647376. The cubic root of 2100213 is about 128.0622459296.

Adding to 2100213 its product of nonzero digits (12), we get a triangular number (2100225 = T₂₀₄₉).

Adding to 2100213 its reverse (3120012), we get a palindrome (5220225).

The spelling of 2100213 in words is "two million, one hundred thousand, two hundred thirteen".