1100110012101 has 16 divisors (see below), whose sum is σ = 1725662764800. Its totient is φ = 690265105344.

The previous prime is 1100110012097. The next prime is 1100110012109. The reversal of 1100110012101 is 1012100110011.

It is not a de Polignac number, because 1100110012101 - 2² = 1100110012097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100110012109) 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, 1198376461 + ... + 1198377378.

It is an arithmetic number, because the mean of its divisors is an integer number (107853922800).

Almost surely, 2^{1100110012101} is an apocalyptic number.

It is an amenable number.

1100110012101 is a deficient number, since it is larger than the sum of its proper divisors (625552752699).

1100110012101 is a wasteful number, since it uses less digits than its factorization.

1100110012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396753865 (or 2396753859 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1100110012101 its reverse (1012100110011), we get a palindrome (2112210122112).

The spelling of 1100110012101 in words is "one trillion, one hundred billion, one hundred ten million, twelve thousand, one hundred one".