100210211002133 has 2 divisors, whose sum is σ = 100210211002134. Its totient is φ = 100210211002132.

The previous prime is 100210211002087. The next prime is 100210211002151. The reversal of 100210211002133 is 331200112012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55418004482929 + 44792206519204 = 7444327^2 + 6692698^2 .

It is a cyclic number.

It is not a de Polignac number, because 100210211002133 - 2¹⁴ = 100210210985749 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100210211002933) 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, 50105105501066 + 50105105501067.

It is an arithmetic number, because the mean of its divisors is an integer number (50105105501067).

Almost surely, 2^{100210211002133} is an apocalyptic number.

It is an amenable number.

100210211002133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210211002133 is an equidigital number, since it uses as much as digits as its factorization.

100210211002133 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 17.

Adding to 100210211002133 its reverse (331200112012001), we get a palindrome (431410323014134).

The spelling of 100210211002133 in words is "one hundred trillion, two hundred ten billion, two hundred eleven million, two thousand, one hundred thirty-three".