100210011120257 has 2 divisors, whose sum is σ = 100210011120258. Its totient is φ = 100210011120256.

The previous prime is 100210011120203. The next prime is 100210011120287. The reversal of 100210011120257 is 752021110012001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78963110882161 + 21246900238096 = 8886119^2 + 4609436^2 .

It is an emirp because it is prime and its reverse (752021110012001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100210011120257 - 2¹² = 100210011116161 is a prime.

It is not a weakly prime, because it can be changed into another prime (100210011120287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105005560128 + 50105005560129.

It is an arithmetic number, because the mean of its divisors is an integer number (50105005560129).

Almost surely, 2^{100210011120257} is an apocalyptic number.

It is an amenable number.

100210011120257 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210011120257 is an equidigital number, since it uses as much as digits as its factorization.

100210011120257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 23.

Adding to 100210011120257 its reverse (752021110012001), we get a palindrome (852231121132258).

The spelling of 100210011120257 in words is "one hundred trillion, two hundred ten billion, eleven million, one hundred twenty thousand, two hundred fifty-seven".