10221101011073 has 2 divisors, whose sum is σ = 10221101011074. Its totient is φ = 10221101011072.

The previous prime is 10221101011007. The next prime is 10221101011217. The reversal of 10221101011073 is 37011010112201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7329836072689 + 2891264938384 = 2707367^2 + 1700372^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221101011073 - 2²⁰ = 10221099962497 is a prime.

It is a super-2 number, since 2×10221101011073² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10221101031073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110550505536 + 5110550505537.

It is an arithmetic number, because the mean of its divisors is an integer number (5110550505537).

Almost surely, 2^{10221101011073} is an apocalyptic number.

It is an amenable number.

10221101011073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221101011073 is an equidigital number, since it uses as much as digits as its factorization.

10221101011073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 20.

Adding to 10221101011073 its reverse (37011010112201), we get a palindrome (47232111123274).

The spelling of 10221101011073 in words is "ten trillion, two hundred twenty-one billion, one hundred one million, eleven thousand, seventy-three".