100220002133 has 2 divisors, whose sum is σ = 100220002134. Its totient is φ = 100220002132.

The previous prime is 100220002061. The next prime is 100220002151. The reversal of 100220002133 is 331200022001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88895211409 + 11324790724 = 298153^2 + 106418^2 .

It is a cyclic number.

It is not a de Polignac number, because 100220002133 - 2¹⁸ = 100219739989 is a prime.

It is a super-3 number, since 3×100220002133³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100220002193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110001066 + 50110001067.

It is an arithmetic number, because the mean of its divisors is an integer number (50110001067).

Almost surely, 2^100220002133 is an apocalyptic number.

It is an amenable number.

100220002133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100220002133 is an equidigital number, since it uses as much as digits as its factorization.

100220002133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 100220002133 its reverse (331200022001), we get a palindrome (431420024134).

The spelling of 100220002133 in words is "one hundred billion, two hundred twenty million, two thousand, one hundred thirty-three".