102104220213 has 72 divisors (see below), whose sum is σ = 163358657280. Its totient is φ = 61220240640.

The previous prime is 102104220209. The next prime is 102104220221. The reversal of 102104220213 is 312022401201.

It is a happy number.

102104220213 is a `hidden beast` number, since 10 + 21 + 0 + 422 + 0 + 213 = 666.

It is not a de Polignac number, because 102104220213 - 2² = 102104220209 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102104220613) 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 71 ways as a sum of consecutive naturals, for example, 14887081 + ... + 14893937.

It is an arithmetic number, because the mean of its divisors is an integer number (2268870240).

Almost surely, 2^102104220213 is an apocalyptic number.

It is an amenable number.

102104220213 is a deficient number, since it is larger than the sum of its proper divisors (61254437067).

102104220213 is a wasteful number, since it uses less digits than its factorization.

102104220213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7019 (or 6963 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102104220213 its reverse (312022401201), we get a palindrome (414126621414).

The spelling of 102104220213 in words is "one hundred two billion, one hundred four million, two hundred twenty thousand, two hundred thirteen".