10100213 has 2 divisors, whose sum is σ = 10100214. Its totient is φ = 10100212.

The previous prime is 10100201. The next prime is 10100219. The reversal of 10100213 is 31200101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10099684 + 529 = 3178^2 + 23^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100213 - 2¹⁶ = 10034677 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050106 + 5050107.

It is an arithmetic number, because the mean of its divisors is an integer number (5050107).

Almost surely, 2^10100213 is an apocalyptic number.

It is an amenable number.

10100213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100213 is an equidigital number, since it uses as much as digits as its factorization.

10100213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 10100213 is about 3178.0832273558. The cubic root of 10100213 is about 216.1607528190.

Adding to 10100213 its reverse (31200101), we get a palindrome (41300314).

The spelling of 10100213 in words is "ten million, one hundred thousand, two hundred thirteen".