110001001000101 has 16 divisors (see below), whose sum is σ = 155341599156288. Its totient is φ = 68999761107200.

The previous prime is 110001001000097. The next prime is 110001001000129. The reversal of 110001001000101 is 101000100100011.

It is a cyclic number.

It is not a de Polignac number, because 110001001000101 - 2² = 110001001000097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110001001000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001001000181) 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 15 ways as a sum of consecutive naturals, for example, 319745370 + ... + 320089211.

It is an arithmetic number, because the mean of its divisors is an integer number (9708849947268).

Almost surely, 2^{110001001000101} is an apocalyptic number.

It is an amenable number.

110001001000101 is a deficient number, since it is larger than the sum of its proper divisors (45340598156187).

110001001000101 is a wasteful number, since it uses less digits than its factorization.

110001001000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639837972.

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

Adding to 110001001000101 its reverse (101000100100011), we get a palindrome (211001101100112).

It can be divided in two parts, 11000100100010 and 1, that added together give a palindrome (11000100100011).

The spelling of 110001001000101 in words is "one hundred ten trillion, one billion, one million, one hundred one", and thus it is an aban number.