101666002217 has 8 divisors (see below), whose sum is σ = 109498543560. Its totient is φ = 93835186560.

The previous prime is 101666002211. The next prime is 101666002271. The reversal of 101666002217 is 712200666101.

It can be written as a sum of positive squares in 4 ways, for example, as 1976780521 + 99689221696 = 44461^2 + 315736^2 .

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 101666002217 - 2¹⁸ = 101665740073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101666002211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307742 + ... + 545927.

It is an arithmetic number, because the mean of its divisors is an integer number (13687317945).

Almost surely, 2^101666002217 is an apocalyptic number.

It is an amenable number.

101666002217 is a deficient number, since it is larger than the sum of its proper divisors (7832541343).

101666002217 is an equidigital number, since it uses as much as digits as its factorization.

101666002217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862843.

The product of its (nonzero) digits is 6048, while the sum is 32.

Adding to 101666002217 its reverse (712200666101), we get a palindrome (813866668318).

The spelling of 101666002217 in words is "one hundred one billion, six hundred sixty-six million, two thousand, two hundred seventeen".