10100221222073 has 2 divisors, whose sum is σ = 10100221222074. Its totient is φ = 10100221222072.

The previous prime is 10100221222019. The next prime is 10100221222111. The reversal of 10100221222073 is 37022212200101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5981805567529 + 4118415654544 = 2445773^2 + 2029388^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100221222073 - 2¹⁴ = 10100221205689 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100221822073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050110611036 + 5050110611037.

It is an arithmetic number, because the mean of its divisors is an integer number (5050110611037).

Almost surely, 2^{10100221222073} is an apocalyptic number.

It is an amenable number.

10100221222073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100221222073 is an equidigital number, since it uses as much as digits as its factorization.

10100221222073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 23.

Adding to 10100221222073 its reverse (37022212200101), we get a palindrome (47122433422174).

The spelling of 10100221222073 in words is "ten trillion, one hundred billion, two hundred twenty-one million, two hundred twenty-two thousand, seventy-three".