10021103117 has 2 divisors, whose sum is σ = 10021103118. Its totient is φ = 10021103116.

The previous prime is 10021103111. The next prime is 10021103137. The reversal of 10021103117 is 71130112001.

10021103117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5508756841 + 4512346276 = 74221^2 + 67174^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10021103117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10021103095 and 10021103104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10021103111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010551558 + 5010551559.

It is an arithmetic number, because the mean of its divisors is an integer number (5010551559).

Almost surely, 2^10021103117 is an apocalyptic number.

It is an amenable number.

10021103117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021103117 is an equidigital number, since it uses as much as digits as its factorization.

10021103117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 17.

Adding to 10021103117 its reverse (71130112001), we get a palindrome (81151215118).

The spelling of 10021103117 in words is "ten billion, twenty-one million, one hundred three thousand, one hundred seventeen".