101011601 has 16 divisors (see below), whose sum is σ = 106579968. Its totient is φ = 95634000.

The previous prime is 101011571. The next prime is 101011621. The reversal of 101011601 is 106110101.

It is a cyclic number.

It is not a de Polignac number, because 101011601 - 2¹⁰ = 101010577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101011621) 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, 305006 + ... + 305336.

It is an arithmetic number, because the mean of its divisors is an integer number (6661248).

Almost surely, 2^101011601 is an apocalyptic number.

It is an amenable number.

101011601 is a deficient number, since it is larger than the sum of its proper divisors (5568367).

101011601 is a wasteful number, since it uses less digits than its factorization.

101011601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572.

The product of its (nonzero) digits is 6, while the sum is 11.

The square root of 101011601 is about 10050.4527758703. The cubic root of 101011601 is about 465.7187804500.

Adding to 101011601 its reverse (106110101), we get a palindrome (207121702).

The spelling of 101011601 in words is "one hundred one million, eleven thousand, six hundred one".