100200213 has 32 divisors (see below), whose sum is σ = 155692800. Its totient is φ = 63569088.

The previous prime is 100200209. The next prime is 100200223. The reversal of 100200213 is 312002001.

It is a happy number.

It is not a de Polignac number, because 100200213 - 2² = 100200209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100200195 and 100200204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200223) 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 31 ways as a sum of consecutive naturals, for example, 196603 + ... + 197111.

It is an arithmetic number, because the mean of its divisors is an integer number (4865400).

Almost surely, 2^100200213 is an apocalyptic number.

It is an amenable number.

100200213 is a deficient number, since it is larger than the sum of its proper divisors (55492587).

100200213 is a wasteful number, since it uses less digits than its factorization.

100200213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 852 counting only the distinct ones).

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

The square root of 100200213 is about 10010.0056443541. The cubic root of 100200213 is about 464.4684456668.

Adding to 100200213 its reverse (312002001), we get a palindrome (412202214).

The spelling of 100200213 in words is "one hundred million, two hundred thousand, two hundred thirteen".