10100210011 has 2 divisors, whose sum is σ = 10100210012. Its totient is φ = 10100210010.

The previous prime is 10100209969. The next prime is 10100210023. The reversal of 10100210011 is 11001200101.

10100210011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (11001200101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100210011 - 2¹⁷ = 10100078939 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100209976 and 10100210003.

It is not a weakly prime, because it can be changed into another prime (10100210411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050105005 + 5050105006.

It is an arithmetic number, because the mean of its divisors is an integer number (5050105006).

Almost surely, 2^10100210011 is an apocalyptic number.

10100210011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100210011 is an equidigital number, since it uses as much as digits as its factorization.

10100210011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10100210011 its reverse (11001200101), we get a palindrome (21101410112).

The spelling of 10100210011 in words is "ten billion, one hundred million, two hundred ten thousand, eleven".