100133002000261 has 2 divisors, whose sum is σ = 100133002000262. Its totient is φ = 100133002000260.

The previous prime is 100133002000253. The next prime is 100133002000271. The reversal of 100133002000261 is 162000200331001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66899149056100 + 33233852944161 = 8179190^2 + 5764881^2 .

It is a cyclic number.

It is not a de Polignac number, because 100133002000261 - 2³ = 100133002000253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100133002000271) 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, 50066501000130 + 50066501000131.

It is an arithmetic number, because the mean of its divisors is an integer number (50066501000131).

Almost surely, 2^{100133002000261} is an apocalyptic number.

It is an amenable number.

100133002000261 is a deficient number, since it is larger than the sum of its proper divisors (1).

100133002000261 is an equidigital number, since it uses as much as digits as its factorization.

100133002000261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100133002000261 its reverse (162000200331001), we get a palindrome (262133202331262).

The spelling of 100133002000261 in words is "one hundred trillion, one hundred thirty-three billion, two million, two hundred sixty-one", and thus it is an aban number.