100210002133 has 2 divisors, whose sum is σ = 100210002134. Its totient is φ = 100210002132.

The previous prime is 100210002097. The next prime is 100210002149. The reversal of 100210002133 is 331200012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77608487889 + 22601514244 = 278583^2 + 150338^2 .

It is a cyclic number.

It is not a de Polignac number, because 100210002133 - 2¹³ = 100209993941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100210002173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105001066 + 50105001067.

It is an arithmetic number, because the mean of its divisors is an integer number (50105001067).

Almost surely, 2^100210002133 is an apocalyptic number.

It is an amenable number.

100210002133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210002133 is an equidigital number, since it uses as much as digits as its factorization.

100210002133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100210002133 its reverse (331200012001), we get a palindrome (431410014134).

The spelling of 100210002133 in words is "one hundred billion, two hundred ten million, two thousand, one hundred thirty-three".