101201102001017 has 2 divisors, whose sum is σ = 101201102001018. Its totient is φ = 101201102001016.

The previous prime is 101201102001011. The next prime is 101201102001029. The reversal of 101201102001017 is 710100201102101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53853230002576 + 47347871998441 = 7338476^2 + 6880979^2 .

It is a cyclic number.

It is not a de Polignac number, because 101201102001017 - 2¹⁸ = 101201101738873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101201102000986 and 101201102001004.

It is not a weakly prime, because it can be changed into another prime (101201102001011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600551000508 + 50600551000509.

It is an arithmetic number, because the mean of its divisors is an integer number (50600551000509).

Almost surely, 2^{101201102001017} is an apocalyptic number.

It is an amenable number.

101201102001017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201102001017 is an equidigital number, since it uses as much as digits as its factorization.

101201102001017 is an evil number, because the sum of its binary digits is even.

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

Adding to 101201102001017 its reverse (710100201102101), we get a palindrome (811301303103118).

The spelling of 101201102001017 in words is "one hundred one trillion, two hundred one billion, one hundred two million, one thousand, seventeen".