110000110100101 has 8 divisors (see below), whose sum is σ = 118461738940664. Its totient is φ = 101538492960960.

The previous prime is 110000110100021. The next prime is 110000110100119. The reversal of 110000110100101 is 101001011000011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6560124503076 + 103439985597025 = 2561274^2 + 10170545^2 .

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 110000110100101 - 2¹³ = 110000110091909 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 (110000110100401) 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, 32381431 + ... + 35616811.

It is an arithmetic number, because the mean of its divisors is an integer number (14807717367583).

Almost surely, 2^{110000110100101} is an apocalyptic number.

It is an amenable number.

110000110100101 is a deficient number, since it is larger than the sum of its proper divisors (8461628840563).

110000110100101 is a wasteful number, since it uses less digits than its factorization.

110000110100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5850711.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 110000110100101 its reverse (101001011000011), we get a palindrome (211001121100112).

The spelling of 110000110100101 in words is "one hundred ten trillion, one hundred ten million, one hundred thousand, one hundred one".