110001000010101 has 64 divisors (see below), whose sum is σ = 154033682025216. Its totient is φ = 69759304704000.

The previous prime is 110001000010001. The next prime is 110001000010129. The reversal of 110001000010101 is 101010000100011.

It is not a de Polignac number, because 110001000010101 - 2¹⁵ = 110000999977333 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 110001000010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001000010001) 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 63 ways as a sum of consecutive naturals, for example, 767015001 + ... + 767158401.

It is an arithmetic number, because the mean of its divisors is an integer number (2406776281644).

Almost surely, 2^{110001000010101} is an apocalyptic number.

It is an amenable number.

110001000010101 is a deficient number, since it is larger than the sum of its proper divisors (44032682015115).

110001000010101 is a wasteful number, since it uses less digits than its factorization.

110001000010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144342.

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

Adding to 110001000010101 its reverse (101010000100011), we get a palindrome (211011000110112).

The spelling of 110001000010101 in words is "one hundred ten trillion, one billion, ten thousand, one hundred one".