10112122081 has 2 divisors, whose sum is σ = 10112122082. Its totient is φ = 10112122080.

The previous prime is 10112122067. The next prime is 10112122099. The reversal of 10112122081 is 18022121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6291027856 + 3821094225 = 79316^2 + 61815^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112122081 - 2⁵ = 10112122049 is a prime.

It is a super-2 number, since 2×10112122081² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10112123081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056061040 + 5056061041.

It is an arithmetic number, because the mean of its divisors is an integer number (5056061041).

Almost surely, 2^10112122081 is an apocalyptic number.

It is an amenable number.

10112122081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112122081 is an equidigital number, since it uses as much as digits as its factorization.

10112122081 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 19.

Adding to 10112122081 its reverse (18022121101), we get a palindrome (28134243182).

The spelling of 10112122081 in words is "ten billion, one hundred twelve million, one hundred twenty-two thousand, eighty-one".