101601 has 16 divisors (see below), whose sum is σ = 155520. Its totient is φ = 65520.

The previous prime is 101599. The next prime is 101603. The reversal of 101601 is 106101.

It is an interprime number because it is at equal distance from previous prime (101599) and next prime (101603).

It is not a de Polignac number, because 101601 - 2¹ = 101599 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1396 + ... + 1466.

It is an arithmetic number, because the mean of its divisors is an integer number (9720).

2¹⁰¹⁶⁰¹ is an apocalyptic number.

It is an amenable number.

101601 is a deficient number, since it is larger than the sum of its proper divisors (53919).

101601 is an equidigital number, since it uses as much as digits as its factorization.

101601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101601 is about 318.7491176458. The cubic root of 101601 is about 46.6622841689.

Adding to 101601 its reverse (106101), we get a palindrome (207702).

The spelling of 101601 in words is "one hundred one thousand, six hundred one".