101600101 has 4 divisors (see below), whose sum is σ = 101624512. Its totient is φ = 101575692.

The previous prime is 101600089. The next prime is 101600117. The reversal of 101600101 is 101006101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101600101 - 2⁵ = 101600069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101600171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4221 + ... + 14866.

It is an arithmetic number, because the mean of its divisors is an integer number (25406128).

Almost surely, 2^101600101 is an apocalyptic number.

It is an amenable number.

101600101 is a deficient number, since it is larger than the sum of its proper divisors (24411).

101600101 is an equidigital number, since it uses as much as digits as its factorization.

101600101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24410.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 101600101 is about 10079.6875447605. The cubic root of 101600101 is about 466.6214654065.

Adding to 101600101 its reverse (101006101), we get a palindrome (202606202).

The spelling of 101600101 in words is "one hundred one million, six hundred thousand, one hundred one".