1100115000101 has 16 divisors (see below), whose sum is σ = 1247354384640. Its totient is φ = 961842962880.

The previous prime is 1100115000091. The next prime is 1100115000107. The reversal of 1100115000101 is 1010005110011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1100115000101 - 2¹⁰ = 1100114999077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100115000107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726116 + ... + 1651506.

It is an arithmetic number, because the mean of its divisors is an integer number (77959649040).

Almost surely, 2^{1100115000101} is an apocalyptic number.

It is an amenable number.

1100115000101 is a deficient number, since it is larger than the sum of its proper divisors (147239384539).

1100115000101 is a wasteful number, since it uses less digits than its factorization.

1100115000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930236.

The product of its (nonzero) digits is 5, while the sum is 11.

The spelling of 1100115000101 in words is "one trillion, one hundred billion, one hundred fifteen million, one hundred one", and thus it is an aban number.