1100111100101 has 16 divisors (see below), whose sum is σ = 1255741858224. Its totient is φ = 954749558784.

The previous prime is 1100111100041. The next prime is 1100111100103. The reversal of 1100111100101 is 1010011110011.

It can be written as a sum of positive squares in 8 ways, for example, as 7814383201 + 1092296716900 = 88399^2 + 1045130^2 .

It is not a de Polignac number, because 1100111100101 - 2³⁴ = 1082931230917 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100111100103) 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 15 ways as a sum of consecutive naturals, for example, 2401076 + ... + 2822301.

It is an arithmetic number, because the mean of its divisors is an integer number (78483866139).

Almost surely, 2^{1100111100101} is an apocalyptic number.

It is an amenable number.

1100111100101 is a deficient number, since it is larger than the sum of its proper divisors (155630758123).

1100111100101 is a wasteful number, since it uses less digits than its factorization.

1100111100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5224360.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1100111100101 its reverse (1010011110011), we get a palindrome (2110122210112).

It can be divided in two parts, 110011110010 and 1, that added together give a palindrome (110011110011).

The spelling of 1100111100101 in words is "one trillion, one hundred billion, one hundred eleven million, one hundred thousand, one hundred one".