1100011000101 has 96 divisors (see below), whose sum is σ = 1649623605120. Its totient is φ = 651372613632.

The previous prime is 1100011000097. The next prime is 1100011000103. The reversal of 1100011000101 is 1010001100011.

It is not a de Polignac number, because 1100011000101 - 2² = 1100011000097 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 1100011000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100011000103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299158075 + ... + 299161751.

It is an arithmetic number, because the mean of its divisors is an integer number (17183579220).

Almost surely, 2^{1100011000101} is an apocalyptic number.

It is an amenable number.

1100011000101 is a deficient number, since it is larger than the sum of its proper divisors (549612605019).

1100011000101 is a wasteful number, since it uses less digits than its factorization.

1100011000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3975 (or 3962 counting only the distinct ones).

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

Adding to 1100011000101 its reverse (1010001100011), we get a palindrome (2110012100112).

It can be divided in two parts, 110001100010 and 1, that added together give a palindrome (110001100011).

The spelling of 1100011000101 in words is "one trillion, one hundred billion, eleven million, one hundred one", and thus it is an aban number.