100133232101 has 24 divisors (see below), whose sum is σ = 121665006144. Its totient is φ = 82016383680.

The previous prime is 100133232083. The next prime is 100133232107. The reversal of 100133232101 is 101232331001.

It is not a de Polignac number, because 100133232101 - 2¹⁴ = 100133215717 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100133232101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133232107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1121186 + ... + 1207196.

It is an arithmetic number, because the mean of its divisors is an integer number (5069375256).

Almost surely, 2^100133232101 is an apocalyptic number.

It is an amenable number.

100133232101 is a deficient number, since it is larger than the sum of its proper divisors (21531774043).

100133232101 is a wasteful number, since it uses less digits than its factorization.

100133232101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87081 (or 87074 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100133232101 its reverse (101232331001), we get a palindrome (201365563102).

The spelling of 100133232101 in words is "one hundred billion, one hundred thirty-three million, two hundred thirty-two thousand, one hundred one".