10021010210117 has 2 divisors, whose sum is σ = 10021010210118. Its totient is φ = 10021010210116.

The previous prime is 10021010209997. The next prime is 10021010210131. The reversal of 10021010210117 is 71101201012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6586978713121 + 3434031496996 = 2566511^2 + 1853114^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021010210117 - 2¹⁸ = 10021009947973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10021010210095 and 10021010210104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10021010210147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010505105058 + 5010505105059.

It is an arithmetic number, because the mean of its divisors is an integer number (5010505105059).

Almost surely, 2^{10021010210117} is an apocalyptic number.

It is an amenable number.

10021010210117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021010210117 is an equidigital number, since it uses as much as digits as its factorization.

10021010210117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 10021010210117 its reverse (71101201012001), we get a palindrome (81122211222118).

The spelling of 10021010210117 in words is "ten trillion, twenty-one billion, ten million, two hundred ten thousand, one hundred seventeen".