100210100261 has 2 divisors, whose sum is σ = 100210100262. Its totient is φ = 100210100260.

The previous prime is 100210100197. The next prime is 100210100297. The reversal of 100210100261 is 162001012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71559460036 + 28650640225 = 267506^2 + 169265^2 .

It is an emirp because it is prime and its reverse (162001012001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100210100261 - 2⁶ = 100210100197 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 (100210100761) 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, 50105050130 + 50105050131.

It is an arithmetic number, because the mean of its divisors is an integer number (50105050131).

Almost surely, 2^100210100261 is an apocalyptic number.

It is an amenable number.

100210100261 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210100261 is an equidigital number, since it uses as much as digits as its factorization.

100210100261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100210100261 its reverse (162001012001), we get a palindrome (262211112262).

The spelling of 100210100261 in words is "one hundred billion, two hundred ten million, one hundred thousand, two hundred sixty-one".