10112421040081 has 2 divisors, whose sum is σ = 10112421040082. Its totient is φ = 10112421040080.

The previous prime is 10112421039979. The next prime is 10112421040087. The reversal of 10112421040081 is 18004012421101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9629105486400 + 483315553681 = 3103080^2 + 695209^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112421040081 - 2¹⁷ = 10112420909009 is a prime.

It is a super-2 number, since 2×10112421040081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10112421040087) 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, 5056210520040 + 5056210520041.

It is an arithmetic number, because the mean of its divisors is an integer number (5056210520041).

Almost surely, 2^{10112421040081} is an apocalyptic number.

It is an amenable number.

10112421040081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112421040081 is an equidigital number, since it uses as much as digits as its factorization.

10112421040081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 25.

Adding to 10112421040081 its reverse (18004012421101), we get a palindrome (28116433461182).

The spelling of 10112421040081 in words is "ten trillion, one hundred twelve billion, four hundred twenty-one million, forty thousand, eighty-one".