100200000213 has 16 divisors (see below), whose sum is σ = 149806324800. Its totient is φ = 66187154160.

The previous prime is 100200000191. The next prime is 100200000223. The reversal of 100200000213 is 312000002001.

It is a happy number.

It is not a de Polignac number, because 100200000213 - 2¹³ = 100199992021 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 = 100200000195 and 100200000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200000223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17020503 + ... + 17026388.

It is an arithmetic number, because the mean of its divisors is an integer number (9362895300).

Almost surely, 2^100200000213 is an apocalyptic number.

It is an amenable number.

100200000213 is a deficient number, since it is larger than the sum of its proper divisors (49606324587).

100200000213 is a wasteful number, since it uses less digits than its factorization.

100200000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34047009 (or 34047003 counting only the distinct ones).

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

Adding to 100200000213 its reverse (312000002001), we get a palindrome (412200002214).

The spelling of 100200000213 in words is "one hundred billion, two hundred million, two hundred thirteen", and thus it is an aban number.