100133001 has 12 divisors (see below), whose sum is σ = 145438020. Its totient is φ = 66385440.

The previous prime is 100132999. The next prime is 100133081. The reversal of 100133001 is 100331001.

It can be written as a sum of positive squares in 2 ways, for example, as 39992976 + 60140025 = 6324^2 + 7755^2 .

It is not a de Polignac number, because 100133001 - 2¹ = 100132999 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100133081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29106 + ... + 32363.

It is an arithmetic number, because the mean of its divisors is an integer number (12119835).

Almost surely, 2^100133001 is an apocalyptic number.

It is an amenable number.

100133001 is a deficient number, since it is larger than the sum of its proper divisors (45305019).

100133001 is a wasteful number, since it uses less digits than its factorization.

100133001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61656 (or 61653 counting only the distinct ones).

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

The square root of 100133001 is about 10006.6478403110. The cubic root of 100133001 is about 464.3645708516.

Adding to 100133001 its reverse (100331001), we get a palindrome (200464002).

The spelling of 100133001 in words is "one hundred million, one hundred thirty-three thousand, one".