101712261 has 8 divisors (see below), whose sum is σ = 154990144. Its totient is φ = 58121280.

The previous prime is 101712229. The next prime is 101712269. The reversal of 101712261 is 162217101.

It is a happy number.

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

It is not a de Polignac number, because 101712261 - 2⁵ = 101712229 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 4843441 = 101712261 / (1 + 0 + 1 + 7 + 1 + 2 + 2 + 6 + 1).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101712269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2421700 + ... + 2421741.

It is an arithmetic number, because the mean of its divisors is an integer number (19373768).

Almost surely, 2^101712261 is an apocalyptic number.

It is an amenable number.

101712261 is a deficient number, since it is larger than the sum of its proper divisors (53277883).

101712261 is an equidigital number, since it uses as much as digits as its factorization.

101712261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4843451.

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 101712261 is about 10085.2496746486. The cubic root of 101712261 is about 466.7931089916.

Adding to 101712261 its reverse (162217101), we get a palindrome (263929362).

The spelling of 101712261 in words is "one hundred one million, seven hundred twelve thousand, two hundred sixty-one".