10100221093 has 2 divisors, whose sum is σ = 10100221094. Its totient is φ = 10100221092.

The previous prime is 10100221091. The next prime is 10100221121. The reversal of 10100221093 is 39012200101.

10100221093 is digitally balanced in base 3, 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., 8799753249 + 1300467844 = 93807^2 + 36062^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100221093 - 2¹ = 10100221091 is a prime.

It is a super-2 number, since 2×10100221093² (a number of 21 digits) contains 22 as substring.

Together with 10100221091, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10100221093.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100221091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050110546 + 5050110547.

It is an arithmetic number, because the mean of its divisors is an integer number (5050110547).

Almost surely, 2^10100221093 is an apocalyptic number.

It is an amenable number.

10100221093 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100221093 is an equidigital number, since it uses as much as digits as its factorization.

10100221093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10100221093 its reverse (39012200101), we get a palindrome (49112421194).

The spelling of 10100221093 in words is "ten billion, one hundred million, two hundred twenty-one thousand, ninety-three".