101100011210017 has 2 divisors, whose sum is σ = 101100011210018. Its totient is φ = 101100011210016.

The previous prime is 101100011209993. The next prime is 101100011210069. The reversal of 101100011210017 is 710012110001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56882352277521 + 44217658932496 = 7542039^2 + 6649636^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100011210017 - 2¹¹ = 101100011207969 is a prime.

It is a super-2 number, since 2×101100011210017² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101100011210117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550005605008 + 50550005605009.

It is an arithmetic number, because the mean of its divisors is an integer number (50550005605009).

Almost surely, 2^{101100011210017} is an apocalyptic number.

It is an amenable number.

101100011210017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100011210017 is an equidigital number, since it uses as much as digits as its factorization.

101100011210017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14, while the sum is 16.

Adding to 101100011210017 its reverse (710012110001101), we get a palindrome (811112121211118).

The spelling of 101100011210017 in words is "one hundred one trillion, one hundred billion, eleven million, two hundred ten thousand, seventeen".