1102100220017 has 2 divisors, whose sum is σ = 1102100220018. Its totient is φ = 1102100220016.

The previous prime is 1102100219989. The next prime is 1102100220061. The reversal of 1102100220017 is 7100220012011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 895665388816 + 206434831201 = 946396^2 + 454351^2 .

It is a cyclic number.

It is not a de Polignac number, because 1102100220017 - 2⁶ = 1102100219953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1102100219977 and 1102100220004.

It is not a weakly prime, because it can be changed into another prime (1102100220077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 551050110008 + 551050110009.

It is an arithmetic number, because the mean of its divisors is an integer number (551050110009).

Almost surely, 2^{1102100220017} is an apocalyptic number.

It is an amenable number.

1102100220017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1102100220017 is an equidigital number, since it uses as much as digits as its factorization.

1102100220017 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 17.

Adding to 1102100220017 its reverse (7100220012011), we get a palindrome (8202320232028).

The spelling of 1102100220017 in words is "one trillion, one hundred two billion, one hundred million, two hundred twenty thousand, seventeen".