10211012102017 has 2 divisors, whose sum is σ = 10211012102018. Its totient is φ = 10211012102016.

The previous prime is 10211012102009. The next prime is 10211012102107. The reversal of 10211012102017 is 71020121011201.

Together with next prime (10211012102107) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9223514776576 + 987497325441 = 3037024^2 + 993729^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211012102017 - 2³ = 10211012102009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10211012101985 and 10211012102003.

It is not a weakly prime, because it can be changed into another prime (10211012102117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105506051008 + 5105506051009.

It is an arithmetic number, because the mean of its divisors is an integer number (5105506051009).

Almost surely, 2^{10211012102017} is an apocalyptic number.

It is an amenable number.

10211012102017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211012102017 is an equidigital number, since it uses as much as digits as its factorization.

10211012102017 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 19.

Adding to 10211012102017 its reverse (71020121011201), we get a palindrome (81231133113218).

The spelling of 10211012102017 in words is "ten trillion, two hundred eleven billion, twelve million, one hundred two thousand, seventeen".