110101000010001 has 256 divisors, whose sum is σ = 214417187389440. Its totient is φ = 48329385246720.

The previous prime is 110101000009999. The next prime is 110101000010033. The reversal of 110101000010001 is 100010000101011.

It is not a de Polignac number, because 110101000010001 - 2¹ = 110101000009999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110101000110001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6076540420 + ... + 6076558538.

It is an arithmetic number, because the mean of its divisors is an integer number (837567138240).

Almost surely, 2^{110101000010001} is an apocalyptic number.

110101000010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110101000010001 is a deficient number, since it is larger than the sum of its proper divisors (104316187379439).

110101000010001 is a wasteful number, since it uses less digits than its factorization.

110101000010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21424.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 110101000010001 its reverse (100010000101011), we get a palindrome (210111000111012).

The spelling of 110101000010001 in words is "one hundred ten trillion, one hundred one billion, ten thousand, one".