1100001000101 has 32 divisors (see below), whose sum is σ = 1227091008000. Its totient is φ = 981640513728.

The previous prime is 1100001000031. The next prime is 1100001000113. The reversal of 1100001000101 is 1010001000011.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1100001000101 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 (1100001005101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20894630 + ... + 20947208.

It is an arithmetic number, because the mean of its divisors is an integer number (38346594000).

Almost surely, 2^{1100001000101} is an apocalyptic number.

It is an amenable number.

1100001000101 is a deficient number, since it is larger than the sum of its proper divisors (127090007899).

1100001000101 is a wasteful number, since it uses less digits than its factorization.

1100001000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53553.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1100001000101 its reverse (1010001000011), we get a palindrome (2110002000112).

The spelling of 1100001000101 in words is "one trillion, one hundred billion, one million, one hundred one", and thus it is an aban number.