100032201 has 12 divisors (see below), whose sum is σ = 148396612. Its totient is φ = 64885536.

The previous prime is 100032197. The next prime is 100032209. The reversal of 100032201 is 102230001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 35390601 + 64641600 = 5949^2 + 8040^2 .

It is not a de Polignac number, because 100032201 - 2² = 100032197 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100032209) 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 11 ways as a sum of consecutive naturals, for example, 149866 + ... + 150531.

Almost surely, 2^100032201 is an apocalyptic number.

It is an amenable number.

100032201 is a deficient number, since it is larger than the sum of its proper divisors (48364411).

100032201 is a wasteful number, since it uses less digits than its factorization.

100032201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300440 (or 300437 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100032201 is about 10001.6099204078. The cubic root of 100032201 is about 464.2086992819.

Adding to 100032201 its reverse (102230001), we get a palindrome (202262202).

The spelling of 100032201 in words is "one hundred million, thirty-two thousand, two hundred one".