10100207021 has 2 divisors, whose sum is σ = 10100207022. Its totient is φ = 10100207020.

The previous prime is 10100206997. The next prime is 10100207023. The reversal of 10100207021 is 12070200101.

10100207021 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 can be written as a sum of positive squares in only one way, i.e., 10023013225 + 77193796 = 100115^2 + 8786^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100207021 is a prime.

Together with 10100207023, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100206987 and 10100207005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100207023) 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, 5050103510 + 5050103511.

It is an arithmetic number, because the mean of its divisors is an integer number (5050103511).

Almost surely, 2^10100207021 is an apocalyptic number.

It is an amenable number.

10100207021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100207021 is an equidigital number, since it uses as much as digits as its factorization.

10100207021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 14.

Adding to 10100207021 its reverse (12070200101), we get a palindrome (22170407122).

The spelling of 10100207021 in words is "ten billion, one hundred million, two hundred seven thousand, twenty-one".