100133003101 has 32 divisors (see below), whose sum is σ = 108522741600. Its totient is φ = 92045721600.

The previous prime is 100133003059. The next prime is 100133003141. The reversal of 100133003101 is 101300331001.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 37907700601 + 62225302500 = 194699^2 + 249450^2 .

It is a cyclic number.

It is not a de Polignac number, because 100133003101 - 2¹¹ = 100133001053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133003141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121964271 + ... + 121965091.

It is an arithmetic number, because the mean of its divisors is an integer number (3391335675).

Almost surely, 2^100133003101 is an apocalyptic number.

It is an amenable number.

100133003101 is a deficient number, since it is larger than the sum of its proper divisors (8389738499).

100133003101 is a wasteful number, since it uses less digits than its factorization.

100133003101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 100133003101 its reverse (101300331001), we get a palindrome (201433334102).

The spelling of 100133003101 in words is "one hundred billion, one hundred thirty-three million, three thousand, one hundred one".