10101100021 has 2 divisors, whose sum is σ = 10101100022. Its totient is φ = 10101100020.

The previous prime is 10101100019. The next prime is 10101100027. The reversal of 10101100021 is 12000110101.

10101100021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8385980625 + 1715119396 = 91575^2 + 41414^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101100021 - 2¹ = 10101100019 is a prime.

Together with 10101100019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10101099977 and 10101100013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101100027) 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, 5050550010 + 5050550011.

It is an arithmetic number, because the mean of its divisors is an integer number (5050550011).

Almost surely, 2^10101100021 is an apocalyptic number.

It is an amenable number.

10101100021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101100021 is an equidigital number, since it uses as much as digits as its factorization.

10101100021 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 10101100021 its reverse (12000110101), we get a palindrome (22101210122).

The spelling of 10101100021 in words is "ten billion, one hundred one million, one hundred thousand, twenty-one".