1100111000101 has 16 divisors (see below), whose sum is σ = 1107488592000. Its totient is φ = 1092761280000.

The previous prime is 1100111000089. The next prime is 1100111000123. The reversal of 1100111000101 is 1010001110011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1100111000101 - 2¹¹ = 1100110998053 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 (1100111060101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169740781 + ... + 169747261.

It is an arithmetic number, because the mean of its divisors is an integer number (69218037000).

Almost surely, 2^{1100111000101} is an apocalyptic number.

It is an amenable number.

1100111000101 is a deficient number, since it is larger than the sum of its proper divisors (7377591899).

1100111000101 is a wasteful number, since it uses less digits than its factorization.

1100111000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8460.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1100111000101 its reverse (1010001110011), we get a palindrome (2110112110112).

The spelling of 1100111000101 in words is "one trillion, one hundred billion, one hundred eleven million, one hundred one", and thus it is an aban number.