10121066113 has 2 divisors, whose sum is σ = 10121066114. Its totient is φ = 10121066112.

The previous prime is 10121066107. The next prime is 10121066159. The reversal of 10121066113 is 31166012101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7288378384 + 2832687729 = 85372^2 + 53223^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10121066113 is a prime.

It is not a weakly prime, because it can be changed into another prime (10121066413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060533056 + 5060533057.

It is an arithmetic number, because the mean of its divisors is an integer number (5060533057).

Almost surely, 2^10121066113 is an apocalyptic number.

It is an amenable number.

10121066113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121066113 is an equidigital number, since it uses as much as digits as its factorization.

10121066113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 10121066113 its reverse (31166012101), we get a palindrome (41287078214).

The spelling of 10121066113 in words is "ten billion, one hundred twenty-one million, sixty-six thousand, one hundred thirteen".