101321171 has 16 divisors (see below), whose sum is σ = 119616000. Its totient is φ = 85776264.

The previous prime is 101321159. The next prime is 101321177. The reversal of 101321171 is 171123101.

It is not a de Polignac number, because 101321171 - 2¹⁸ = 101059027 is a prime.

It is a super-2 number, since 2×101321171² = 20531959385622482, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101321177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26690 + ... + 30248.

It is an arithmetic number, because the mean of its divisors is an integer number (7476000).

Almost surely, 2^101321171 is an apocalyptic number.

101321171 is a deficient number, since it is larger than the sum of its proper divisors (18294829).

101321171 is an frugal number, since it uses more digits than its factorization.

101321171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 17.

The square root of 101321171 is about 10065.8417929153. The cubic root of 101321171 is about 466.1940576456.

Adding to 101321171 its reverse (171123101), we get a palindrome (272444272).

The spelling of 101321171 in words is "one hundred one million, three hundred twenty-one thousand, one hundred seventy-one".