101616201 has 20 divisors (see below), whose sum is σ = 153312324. Its totient is φ = 67068000.

The previous prime is 101616197. The next prime is 101616239. The reversal of 101616201 is 102616101.

It can be written as a sum of positive squares in 2 ways, for example, as 98010000 + 3606201 = 9900^2 + 1899^2 .

It is not a de Polignac number, because 101616201 - 2² = 101616197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101616241) 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 19 ways as a sum of consecutive naturals, for example, 1971 + ... + 14391.

Almost surely, 2^101616201 is an apocalyptic number.

It is an amenable number.

101616201 is a deficient number, since it is larger than the sum of its proper divisors (51696123).

101616201 is a wasteful number, since it uses less digits than its factorization.

101616201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12534 (or 12525 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 101616201 is about 10080.4861489910. The cubic root of 101616201 is about 466.6461117364.

The spelling of 101616201 in words is "one hundred one million, six hundred sixteen thousand, two hundred one".