100100002133 has 4 divisors (see below), whose sum is σ = 100180147500. Its totient is φ = 100019856768.

The previous prime is 100100002127. The next prime is 100100002159. The reversal of 100100002133 is 331200001001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 331200001001 = 59 ⋅5613559339.

It can be written as a sum of positive squares in 2 ways, for example, as 80725310884 + 19374691249 = 284122^2 + 139193^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100002133 - 2¹⁸ = 100099739989 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 (100100002193) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40070810 + ... + 40073307.

It is an arithmetic number, because the mean of its divisors is an integer number (25045036875).

Almost surely, 2^100100002133 is an apocalyptic number.

It is an amenable number.

100100002133 is a deficient number, since it is larger than the sum of its proper divisors (80145367).

100100002133 is an equidigital number, since it uses as much as digits as its factorization.

100100002133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80145366.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 100100002133 its reverse (331200001001), we get a palindrome (431300003134).

The spelling of 100100002133 in words is "one hundred billion, one hundred million, two thousand, one hundred thirty-three".