101720216105 has 8 divisors (see below), whose sum is σ = 122097842952. Its totient is φ = 81353783808.

The previous prime is 101720216011. The next prime is 101720216113. The reversal of 101720216105 is 501612027101.

It can be written as a sum of positive squares in 4 ways, for example, as 1516946704 + 100203269401 = 38948^2 + 316549^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101720216105 - 2¹⁸ = 101719953961 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2778632 + ... + 2815001.

It is an arithmetic number, because the mean of its divisors is an integer number (15262230369).

Almost surely, 2^101720216105 is an apocalyptic number.

It is an amenable number.

101720216105 is a deficient number, since it is larger than the sum of its proper divisors (20377626847).

101720216105 is an equidigital number, since it uses as much as digits as its factorization.

101720216105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5597275.

The product of its (nonzero) digits is 840, while the sum is 26.

The spelling of 101720216105 in words is "one hundred one billion, seven hundred twenty million, two hundred sixteen thousand, one hundred five".