101014561 has 8 divisors (see below), whose sum is σ = 107049384. Its totient is φ = 94990080.

The previous prime is 101014559. The next prime is 101014577. The reversal of 101014561 is 165410101.

It can be written as a sum of positive squares in 4 ways, for example, as 18113536 + 82901025 = 4256^2 + 9105^2 .

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 101014561 - 2¹ = 101014559 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101044561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27891 + ... + 31303.

It is an arithmetic number, because the mean of its divisors is an integer number (13381173).

Almost surely, 2^101014561 is an apocalyptic number.

It is an amenable number.

101014561 is a deficient number, since it is larger than the sum of its proper divisors (6034823).

101014561 is a wasteful number, since it uses less digits than its factorization.

101014561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5171.

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 101014561 is about 10050.6000318389. The cubic root of 101014561 is about 465.7233294791.

Adding to 101014561 its reverse (165410101), we get a palindrome (266424662).

The spelling of 101014561 in words is "one hundred one million, fourteen thousand, five hundred sixty-one".