1102100111101 has 12 divisors (see below), whose sum is σ = 1214097349500. Its totient is φ = 999677719040.

The previous prime is 1102100111069. The next prime is 1102100111111. The reversal of 1102100111101 is 1011110012011.

It can be written as a sum of positive squares in 2 ways, for example, as 602526803076 + 499573308025 = 776226^2 + 706805^2 .

It is not a de Polignac number, because 1102100111101 - 2⁵ = 1102100111069 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 (1102100111111) 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 11 ways as a sum of consecutive naturals, for example, 10088506 + ... + 10197163.

It is an arithmetic number, because the mean of its divisors is an integer number (101174779125).

Almost surely, 2^{1102100111101} is an apocalyptic number.

1102100111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1102100111101 is a deficient number, since it is larger than the sum of its proper divisors (111997238399).

1102100111101 is a wasteful number, since it uses less digits than its factorization.

1102100111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20286140 (or 20286129 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1102100111101 its reverse (1011110012011), we get a palindrome (2113210123112).

The spelling of 1102100111101 in words is "one trillion, one hundred two billion, one hundred million, one hundred eleven thousand, one hundred one".