102120001112209 has 8 divisors (see below), whose sum is σ = 102551876352200. Its totient is φ = 101688193152000.

The previous prime is 102120001112197. The next prime is 102120001112221. The reversal of 102120001112209 is 902211100021201.

It is an interprime number because it is at equal distance from previous prime (102120001112197) and next prime (102120001112221).

It can be written as a sum of positive squares in 4 ways, for example, as 11876707987600 + 90243293124609 = 3446260^2 + 9499647^2 .

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 102120001112209 - 2⁵ = 102120001112177 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102120001112209.

It is not an unprimeable number, because it can be changed into a prime (102120001112279) 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, 13776684 + ... + 19850365.

It is an arithmetic number, because the mean of its divisors is an integer number (12818984544025).

Almost surely, 2^{102120001112209} is an apocalyptic number.

It is an amenable number.

102120001112209 is a deficient number, since it is larger than the sum of its proper divisors (431875239991).

102120001112209 is a wasteful number, since it uses less digits than its factorization.

102120001112209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33639891.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 102120001112209 in words is "one hundred two trillion, one hundred twenty billion, one million, one hundred twelve thousand, two hundred nine".