10022002117 has 2 divisors, whose sum is σ = 10022002118. Its totient is φ = 10022002116.

The previous prime is 10022002063. The next prime is 10022002127. The reversal of 10022002117 is 71120022001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8036943201 + 1985058916 = 89649^2 + 44554^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022002117 - 2⁷ = 10022001989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10022002117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10022002127) 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, 5011001058 + 5011001059.

It is an arithmetic number, because the mean of its divisors is an integer number (5011001059).

Almost surely, 2^10022002117 is an apocalyptic number.

It is an amenable number.

10022002117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022002117 is an equidigital number, since it uses as much as digits as its factorization.

10022002117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 16.

Adding to 10022002117 its reverse (71120022001), we get a palindrome (81142024118).

The spelling of 10022002117 in words is "ten billion, twenty-two million, two thousand, one hundred seventeen".