10100510106017 has 2 divisors, whose sum is σ = 10100510106018. Its totient is φ = 10100510106016.

The previous prime is 10100510105929. The next prime is 10100510106059. The reversal of 10100510106017 is 71060101500101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5484818796961 + 4615691309056 = 2341969^2 + 2148416^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100510106017 - 2⁸ = 10100510105761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100510105983 and 10100510106001.

It is not a weakly prime, because it can be changed into another prime (10100510166017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050255053008 + 5050255053009.

It is an arithmetic number, because the mean of its divisors is an integer number (5050255053009).

Almost surely, 2^{10100510106017} is an apocalyptic number.

It is an amenable number.

10100510106017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100510106017 is an equidigital number, since it uses as much as digits as its factorization.

10100510106017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 210, while the sum is 23.

Adding to 10100510106017 its reverse (71060101500101), we get a palindrome (81160611606118).

The spelling of 10100510106017 in words is "ten trillion, one hundred billion, five hundred ten million, one hundred six thousand, seventeen".