10112221122181 has 2 divisors, whose sum is σ = 10112221122182. Its totient is φ = 10112221122180.

The previous prime is 10112221122169. The next prime is 10112221122221. The reversal of 10112221122181 is 18122112221101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9932796869956 + 179424252225 = 3151634^2 + 423585^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112221122181 - 2²³ = 10112212733573 is a prime.

It is a super-2 number, since 2×10112221122181² (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 (10112221122881) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056110561090 + 5056110561091.

It is an arithmetic number, because the mean of its divisors is an integer number (5056110561091).

Almost surely, 2^{10112221122181} is an apocalyptic number.

It is an amenable number.

10112221122181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112221122181 is an equidigital number, since it uses as much as digits as its factorization.

10112221122181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 25.

Adding to 10112221122181 its reverse (18122112221101), we get a palindrome (28234333343282).

The spelling of 10112221122181 in words is "ten trillion, one hundred twelve billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred eighty-one".