10221112120181 has 2 divisors, whose sum is σ = 10221112120182. Its totient is φ = 10221112120180.

The previous prime is 10221112120097. The next prime is 10221112120183. The reversal of 10221112120181 is 18102121112201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8286717939556 + 1934394180625 = 2878666^2 + 1390825^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10221112120181 is a prime.

It is a super-2 number, since 2×10221112120181² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 10221112120183, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221112120183) 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, 5110556060090 + 5110556060091.

It is an arithmetic number, because the mean of its divisors is an integer number (5110556060091).

Almost surely, 2^{10221112120181} is an apocalyptic number.

It is an amenable number.

10221112120181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221112120181 is an equidigital number, since it uses as much as digits as its factorization.

10221112120181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 23.

Adding to 10221112120181 its reverse (18102121112201), we get a palindrome (28323233232382).

The spelling of 10221112120181 in words is "ten trillion, two hundred twenty-one billion, one hundred twelve million, one hundred twenty thousand, one hundred eighty-one".