101016561 has 8 divisors (see below), whose sum is σ = 136311840. Its totient is φ = 66532832.

The previous prime is 101016551. The next prime is 101016571. The reversal of 101016561 is 165610101.

It is an interprime number because it is at equal distance from previous prime (101016551) and next prime (101016571).

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

It is a cyclic number.

It is not a de Polignac number, because 101016561 - 2¹¹ = 101014513 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (101016511) 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 7 ways as a sum of consecutive naturals, for example, 202596 + ... + 203093.

It is an arithmetic number, because the mean of its divisors is an integer number (17038980).

Almost surely, 2^101016561 is an apocalyptic number.

It is an amenable number.

101016561 is a deficient number, since it is larger than the sum of its proper divisors (35295279).

101016561 is an equidigital number, since it uses as much as digits as its factorization.

101016561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405775.

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 101016561 is about 10050.6995278936. The cubic root of 101016561 is about 465.7264030970.

Adding to 101016561 its reverse (165610101), we get a palindrome (266626662).

It can be divided in two parts, 1010 and 16561, that added together give a palindrome (17571).

The spelling of 101016561 in words is "one hundred one million, sixteen thousand, five hundred sixty-one".