10221011112181 has 2 divisors, whose sum is σ = 10221011112182. Its totient is φ = 10221011112180.

The previous prime is 10221011112133. The next prime is 10221011112217. The reversal of 10221011112181 is 18121111012201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8518401076900 + 1702610035281 = 2918630^2 + 1304841^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221011112181 - 2⁹ = 10221011111669 is a prime.

It is a super-3 number, since 3×10221011112181³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221011112581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110505556090 + 5110505556091.

It is an arithmetic number, because the mean of its divisors is an integer number (5110505556091).

Almost surely, 2^{10221011112181} is an apocalyptic number.

It is an amenable number.

10221011112181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221011112181 is an equidigital number, since it uses as much as digits as its factorization.

10221011112181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 22.

Adding to 10221011112181 its reverse (18121111012201), we get a palindrome (28342122124382).

The spelling of 10221011112181 in words is "ten trillion, two hundred twenty-one billion, eleven million, one hundred twelve thousand, one hundred eighty-one".