10122212110081 has 2 divisors, whose sum is σ = 10122212110082. Its totient is φ = 10122212110080.

The previous prime is 10122212110069. The next prime is 10122212110151. The reversal of 10122212110081 is 18001121222101.

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., 9095749319056 + 1026462791025 = 3015916^2 + 1013145^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122212110081 - 2³¹ = 10120064626433 is a prime.

It is a super-2 number, since 2×10122212110081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10122212113081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061106055040 + 5061106055041.

It is an arithmetic number, because the mean of its divisors is an integer number (5061106055041).

Almost surely, 2^{10122212110081} is an apocalyptic number.

It is an amenable number.

10122212110081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122212110081 is an equidigital number, since it uses as much as digits as its factorization.

10122212110081 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 22.

Adding to 10122212110081 its reverse (18001121222101), we get a palindrome (28123333332182).

The spelling of 10122212110081 in words is "ten trillion, one hundred twenty-two billion, two hundred twelve million, one hundred ten thousand, eighty-one".