102200112209 has 8 divisors (see below), whose sum is σ = 110100992232. Its totient is φ = 94304851200.

The previous prime is 102200112181. The next prime is 102200112221. The reversal of 102200112209 is 902211002201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3110515984 + 99089596225 = 55772^2 + 314785^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102200112209 - 2³⁶ = 33480635473 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102200112239) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1366934 + ... + 1439759.

It is an arithmetic number, because the mean of its divisors is an integer number (13762624029).

Almost surely, 2^102200112209 is an apocalyptic number.

It is an amenable number.

102200112209 is a deficient number, since it is larger than the sum of its proper divisors (7900880023).

102200112209 is a wasteful number, since it uses less digits than its factorization.

102200112209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809507.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 102200112209 in words is "one hundred two billion, two hundred million, one hundred twelve thousand, two hundred nine".