100133001101 has 16 divisors (see below), whose sum is σ = 114866035200. Its totient is φ = 85507243008.

The previous prime is 100133001091. The next prime is 100133001109. The reversal of 100133001101 is 101100331001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100133001101 - 2²⁶ = 100065892237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133001109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8360045 + ... + 8372013.

It is an arithmetic number, because the mean of its divisors is an integer number (7179127200).

Almost surely, 2^100133001101 is an apocalyptic number.

It is an amenable number.

100133001101 is a deficient number, since it is larger than the sum of its proper divisors (14733034099).

100133001101 is a wasteful number, since it uses less digits than its factorization.

100133001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16348.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 100133001101 its reverse (101100331001), we get a palindrome (201233332102).

The spelling of 100133001101 in words is "one hundred billion, one hundred thirty-three million, one thousand, one hundred one".