10312221120181 has 2 divisors, whose sum is σ = 10312221120182. Its totient is φ = 10312221120180.

The previous prime is 10312221120143. The next prime is 10312221120211. The reversal of 10312221120181 is 18102112221301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7093752828100 + 3218468292081 = 2663410^2 + 1794009^2 .

It is a cyclic number.

It is not a de Polignac number, because 10312221120181 - 2²³ = 10312212731573 is a prime.

It is a super-2 number, since 2×10312221120181² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10312221120281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5156110560090 + 5156110560091.

It is an arithmetic number, because the mean of its divisors is an integer number (5156110560091).

Almost surely, 2^{10312221120181} is an apocalyptic number.

It is an amenable number.

10312221120181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10312221120181 is an equidigital number, since it uses as much as digits as its factorization.

10312221120181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 25.

Adding to 10312221120181 its reverse (18102112221301), we get a palindrome (28414333341482).

It can be divided in two parts, 10312221120 and 181, that added together give a palindrome (10312221301).

The spelling of 10312221120181 in words is "ten trillion, three hundred twelve billion, two hundred twenty-one million, one hundred twenty thousand, one hundred eighty-one".