1100011120101 has 24 divisors (see below), whose sum is σ = 1633428556760. Its totient is φ = 712829776896.

The previous prime is 1100011120009. The next prime is 1100011120121. The reversal of 1100011120101 is 1010211100011.

It can be written as a sum of positive squares in 4 ways, for example, as 599842505025 + 500168615076 = 774495^2 + 707226^2 .

It is not a de Polignac number, because 1100011120101 - 2¹⁹ = 1100010595813 is a prime.

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

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 (1100011120121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1254916 + ... + 1942893.

Almost surely, 2^{1100011120101} is an apocalyptic number.

It is an amenable number.

1100011120101 is a deficient number, since it is larger than the sum of its proper divisors (533417436659).

1100011120101 is a wasteful number, since it uses less digits than its factorization.

1100011120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3198885 (or 3198882 counting only the distinct ones).

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

Adding to 1100011120101 its reverse (1010211100011), we get a palindrome (2110222220112).

The spelling of 1100011120101 in words is "one trillion, one hundred billion, eleven million, one hundred twenty thousand, one hundred one".