852101201 has 16 divisors (see below), whose sum is σ = 997675008. Its totient is φ = 712530000.

The previous prime is 852101179. The next prime is 852101207. The reversal of 852101201 is 102101258.

It is a happy number.

It is not a de Polignac number, because 852101201 - 2¹⁸ = 851839057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (852101207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435776 + ... + 437726.

It is an arithmetic number, because the mean of its divisors is an integer number (62354688).

Almost surely, 2^852101201 is an apocalyptic number.

It is an amenable number.

852101201 is a deficient number, since it is larger than the sum of its proper divisors (145573807).

852101201 is a wasteful number, since it uses less digits than its factorization.

852101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452.

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 852101201 is about 29190.7725317437. The cubic root of 852101201 is about 948.0481442937.

Adding to 852101201 its reverse (102101258), we get a palindrome (954202459).

The spelling of 852101201 in words is "eight hundred fifty-two million, one hundred one thousand, two hundred one".