101166171161 has 8 divisors (see below), whose sum is σ = 110365436064. Its totient is φ = 91967296320.

The previous prime is 101166171143. The next prime is 101166171179. The reversal of 101166171161 is 161171661101.

It is an interprime number because it is at equal distance from previous prime (101166171143) and next prime (101166171179).

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 101166171161 - 2¹⁸ = 101165909017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101166171661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 820961 + ... + 936113.

It is an arithmetic number, because the mean of its divisors is an integer number (13795679508).

Almost surely, 2^101166171161 is an apocalyptic number.

101166171161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101166171161 is a deficient number, since it is larger than the sum of its proper divisors (9199264903).

101166171161 is a wasteful number, since it uses less digits than its factorization.

101166171161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195031.

The product of its (nonzero) digits is 1512, while the sum is 32.

The spelling of 101166171161 in words is "one hundred one billion, one hundred sixty-six million, one hundred seventy-one thousand, one hundred sixty-one".