100120213 has 2 divisors, whose sum is σ = 100120214. Its totient is φ = 100120212.

The previous prime is 100120183. The next prime is 100120231. The reversal of 100120213 is 312021001.

Together with next prime (100120231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51581124 + 48539089 = 7182^2 + 6967^2 .

It is a cyclic number.

It is not a de Polignac number, because 100120213 - 2²⁵ = 66565781 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100120213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100120243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060106 + 50060107.

It is an arithmetic number, because the mean of its divisors is an integer number (50060107).

Almost surely, 2^100120213 is an apocalyptic number.

It is an amenable number.

100120213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120213 is an equidigital number, since it uses as much as digits as its factorization.

100120213 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 10.

The square root of 100120213 is about 10006.0088446893. The cubic root of 100120213 is about 464.3448019879.

Adding to 100120213 its reverse (312021001), we get a palindrome (412141214).

The spelling of 100120213 in words is "one hundred million, one hundred twenty thousand, two hundred thirteen".