10010220193 has 2 divisors, whose sum is σ = 10010220194. Its totient is φ = 10010220192.

The previous prime is 10010220169. The next prime is 10010220221. The reversal of 10010220193 is 39102201001.

10010220193 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., 9972618769 + 37601424 = 99863^2 + 6132^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010220193 - 2¹⁷ = 10010089121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10010220193.

It is not a weakly prime, because it can be changed into another prime (10010220593) 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, 5005110096 + 5005110097.

It is an arithmetic number, because the mean of its divisors is an integer number (5005110097).

Almost surely, 2^10010220193 is an apocalyptic number.

It is an amenable number.

10010220193 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010220193 is an equidigital number, since it uses as much as digits as its factorization.

10010220193 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 10010220193 its reverse (39102201001), we get a palindrome (49112421194).

It can be divided in two parts, 100102 and 20193, that added together give a triangular number (120295 = T₄₉₀).

The spelling of 10010220193 in words is "ten billion, ten million, two hundred twenty thousand, one hundred ninety-three".