102100120201201 has 8 divisors (see below), whose sum is σ = 102133139645160. Its totient is φ = 102067103620608.

The previous prime is 102100120201199. The next prime is 102100120201207. The reversal of 102100120201201 is 102102021001201.

It can be written as a sum of positive squares in 4 ways, for example, as 9643260729600 + 92456859471601 = 3105360^2 + 9615449^2 .

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 102100120201201 - 2¹ = 102100120201199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102100120201207) 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, 71795265 + ... + 73203553.

It is an arithmetic number, because the mean of its divisors is an integer number (12766642455645).

Almost surely, 2^{102100120201201} is an apocalyptic number.

It is an amenable number.

102100120201201 is a deficient number, since it is larger than the sum of its proper divisors (33019443959).

102100120201201 is a wasteful number, since it uses less digits than its factorization.

102100120201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431683.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102100120201201 its reverse (102102021001201), we get a palindrome (204202141202402).

The spelling of 102100120201201 in words is "one hundred two trillion, one hundred billion, one hundred twenty million, two hundred one thousand, two hundred one".