10122210022073 has 2 divisors, whose sum is σ = 10122210022074. Its totient is φ = 10122210022072.

The previous prime is 10122210022037. The next prime is 10122210022079. The reversal of 10122210022073 is 37022001222101.

10122210022073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (10122210022037) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7272687091264 + 2849522930809 = 2696792^2 + 1688053^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122210022073 - 2²⁴ = 10122193244857 is a prime.

It is not a weakly prime, because it can be changed into another prime (10122210022079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061105011036 + 5061105011037.

It is an arithmetic number, because the mean of its divisors is an integer number (5061105011037).

Almost surely, 2^{10122210022073} is an apocalyptic number.

It is an amenable number.

10122210022073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122210022073 is an equidigital number, since it uses as much as digits as its factorization.

10122210022073 is an evil number, because the sum of its binary digits is even.

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

Adding to 10122210022073 its reverse (37022001222101), we get a palindrome (47144211244174).

The spelling of 10122210022073 in words is "ten trillion, one hundred twenty-two billion, two hundred ten million, twenty-two thousand, seventy-three".