100100110101017 has 6 divisors (see below), whose sum is σ = 108392426914302. Its totient is φ = 92400101631552.

The previous prime is 100100110100981. The next prime is 100100110101023. The reversal of 100100110101017 is 710101011001001.

It can be written as a sum of positive squares in 3 ways, for example, as 12794614225936 + 87305495875081 = 3576956^2 + 9343741^2 .

It is not a de Polignac number, because 100100110101017 - 2¹⁰ = 100100110099993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100110100992 and 100100110101010.

It is not an unprimeable number, because it can be changed into a prime (100100110101077) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 296154171728 + ... + 296154172065.

It is an arithmetic number, because the mean of its divisors is an integer number (18065404485717).

Almost surely, 2^{100100110101017} is an apocalyptic number.

It is an amenable number.

100100110101017 is a deficient number, since it is larger than the sum of its proper divisors (8292316813285).

100100110101017 is an equidigital number, since it uses as much as digits as its factorization.

100100110101017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592308343819 (or 592308343806 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 100100110101017 its reverse (710101011001001), we get a palindrome (810201121102018).

The spelling of 100100110101017 in words is "one hundred trillion, one hundred billion, one hundred ten million, one hundred one thousand, seventeen".