100101 has 8 divisors (see below), whose sum is σ = 135904. Its totient is φ = 65520.

The previous prime is 100069. The next prime is 100103. The reversal of 100101 is 101001.

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

It is not a de Polignac number, because 100101 - 2⁵ = 100069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a Duffinian number.

100101 is a modest number, since divided by 101 gives 10 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91 + ... + 456.

It is an arithmetic number, because the mean of its divisors is an integer number (16988).

2¹⁰⁰¹⁰¹ is an apocalyptic number.

100101 is the 183-rd octagonal number.

It is an amenable number.

100101 is a deficient number, since it is larger than the sum of its proper divisors (35803).

100101 is an equidigital number, since it uses as much as digits as its factorization.

100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611.

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 100101 is about 316.3874207360. The cubic root of 100101 is about 46.4315097605.

Adding to 100101 its reverse (101001), we get a palindrome (201102).

Subtracting 100101 from its reverse (101001), we obtain a square (900 = 30²).

Multiplying 100101 by its reverse (101001), we get a palindrome (10110301101).

It can be divided in two parts, 10010 and 1, that added together give a triangular number (10011 = T₁₄₁).

The spelling of 100101 in words is "one hundred thousand, one hundred one", and thus it is an iban number.