102120110020009 has 8 divisors (see below), whose sum is σ = 102798355530248. Its totient is φ = 101442216395520.

The previous prime is 102120110019943. The next prime is 102120110020067. The reversal of 102120110020009 is 900020011021201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4246187754384 + 97873922265625 = 2060628^2 + 9893125^2 .

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 102120110020009 - 2¹³ = 102120110011817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102120110020069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87389082 + ... + 88549939.

It is an arithmetic number, because the mean of its divisors is an integer number (12849794441281).

Almost surely, 2^{102120110020009} is an apocalyptic number.

It is an amenable number.

102120110020009 is a deficient number, since it is larger than the sum of its proper divisors (678245510239).

102120110020009 is a wasteful number, since it uses less digits than its factorization.

102120110020009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175942875.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 102120110020009 in words is "one hundred two trillion, one hundred twenty billion, one hundred ten million, twenty thousand, nine".