100032101 has 8 divisors (see below), whose sum is σ = 107888760. Its totient is φ = 92198592.

The previous prime is 100032077. The next prime is 100032103. The reversal of 100032101 is 101230001.

It can be written as a sum of positive squares in 4 ways, for example, as 12100 + 100020001 = 110^2 + 10001^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100032101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100032103) 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 7 ways as a sum of consecutive naturals, for example, 3791 + ... + 14643.

It is an arithmetic number, because the mean of its divisors is an integer number (13486095).

Almost surely, 2^100032101 is an apocalyptic number.

It is an amenable number.

100032101 is a deficient number, since it is larger than the sum of its proper divisors (7856659).

100032101 is a wasteful number, since it uses less digits than its factorization.

100032101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11575.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 100032101 is about 10001.6049212114. The cubic root of 100032101 is about 464.2085445955.

Adding to 100032101 its reverse (101230001), we get a palindrome (201262102).

The spelling of 100032101 in words is "one hundred million, thirty-two thousand, one hundred one".