5200101 has 12 divisors (see below), whose sum is σ = 7532460. Its totient is φ = 3456960.

The previous prime is 5200099. The next prime is 5200103. The reversal of 5200101 is 1010025.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5200099) and next prime (5200103).

It can be written as a sum of positive squares in 2 ways, for example, as 599076 + 4601025 = 774^2 + 2145^2 .

It is not a de Polignac number, because 5200101 - 2¹ = 5200099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5200103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4135 + ... + 5243.

It is an arithmetic number, because the mean of its divisors is an integer number (627705).

Almost surely, 2^5200101 is an apocalyptic number.

It is an amenable number.

5200101 is a deficient number, since it is larger than the sum of its proper divisors (2332359).

5200101 is a wasteful number, since it uses less digits than its factorization.

5200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 5200101 is about 2280.3729958057. The cubic root of 5200101 is about 173.2489427295.

Adding to 5200101 its reverse (1010025), we get a palindrome (6210126).

The spelling of 5200101 in words is "five million, two hundred thousand, one hundred one".