100101001 has 24 divisors (see below), whose sum is σ = 135434432. Its totient is φ = 71992800.

The previous prime is 100100927. The next prime is 100101007.

100101001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100101001 - 2¹⁹ = 99576713 is a prime.

100101001 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (100101007) 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 23 ways as a sum of consecutive naturals, for example, 6466 + ... + 15556.

Almost surely, 2^100101001 is an apocalyptic number.

100101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101001 is a deficient number, since it is larger than the sum of its proper divisors (35333431).

100101001 is a wasteful number, since it uses less digits than its factorization.

100101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9133 (or 9122 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 100101001 is about 10005.0487754933. The cubic root of 100101001 is about 464.3150991512.

It can be divided in two parts, 10010 and 1001, that added together give a palindrome (11011).

The spelling of 100101001 in words is "one hundred million, one hundred one thousand, one".