110101105561 has 32 divisors (see below), whose sum is σ = 115383679488. Its totient is φ = 104977192320.

The previous prime is 110101105537. The next prime is 110101105643. The reversal of 110101105561 is 165501101011.

It is a cyclic number.

It is not a de Polignac number, because 110101105561 - 2¹¹ = 110101103513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110101505561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248535006 + ... + 248535448.

It is an arithmetic number, because the mean of its divisors is an integer number (3605739984).

Almost surely, 2^110101105561 is an apocalyptic number.

It is an amenable number.

110101105561 is a deficient number, since it is larger than the sum of its proper divisors (5282573927).

110101105561 is a wasteful number, since it uses less digits than its factorization.

110101105561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141.

The product of its (nonzero) digits is 150, while the sum is 22.

Adding to 110101105561 its reverse (165501101011), we get a palindrome (275602206572).

The spelling of 110101105561 in words is "one hundred ten billion, one hundred one million, one hundred five thousand, five hundred sixty-one".