100333133101 has 2 divisors, whose sum is σ = 100333133102. Its totient is φ = 100333133100.

The previous prime is 100333133093. The next prime is 100333133141. The reversal of 100333133101 is 101331333001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100329929001 + 3204100 = 316749^2 + 1790^2 .

It is a cyclic number.

It is not a de Polignac number, because 100333133101 - 2³ = 100333133093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100333133141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50166566550 + 50166566551.

It is an arithmetic number, because the mean of its divisors is an integer number (50166566551).

Almost surely, 2^100333133101 is an apocalyptic number.

It is an amenable number.

100333133101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100333133101 is an equidigital number, since it uses as much as digits as its factorization.

100333133101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 100333133101 its reverse (101331333001), we get a palindrome (201664466102).

The spelling of 100333133101 in words is "one hundred billion, three hundred thirty-three million, one hundred thirty-three thousand, one hundred one".