100200101 has 4 divisors (see below), whose sum is σ = 100257900. Its totient is φ = 100142304.

The previous prime is 100200073. The next prime is 100200119. The reversal of 100200101 is 101002001.

It is a happy number.

It is a Cunningham number, because it is equal to 10010²+1.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 101002001 = 7589 ⋅13309.

It can be written as a sum of positive squares in 2 ways, for example, as 94672900 + 5527201 = 9730^2 + 2351^2 .

It is a cyclic number.

It is not a de Polignac number, because 100200101 - 2¹⁴ = 100183717 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26216 + ... + 29793.

It is an arithmetic number, because the mean of its divisors is an integer number (25064475).

Almost surely, 2^100200101 is an apocalyptic number.

It is an amenable number.

100200101 is a deficient number, since it is larger than the sum of its proper divisors (57799).

100200101 is an equidigital number, since it uses as much as digits as its factorization.

100200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57798.

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 100200101 is about 10010.0000499500. Note that the first 4 decimals coincide. The cubic root of 100200101 is about 464.4682726117.

Adding to 100200101 its reverse (101002001), we get a palindrome (201202102).

The spelling of 100200101 in words is "one hundred million, two hundred thousand, one hundred one".