1100011002101 has 16 divisors (see below), whose sum is σ = 1212346681728. Its totient is φ = 989742067200.

The previous prime is 1100011002091. The next prime is 1100011002113. The reversal of 1100011002101 is 1012001100011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1100011002101 - 2⁶ = 1100011002037 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 (1100011002131) 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 15 ways as a sum of consecutive naturals, for example, 1740161 + ... + 2286521.

It is an arithmetic number, because the mean of its divisors is an integer number (75771667608).

Almost surely, 2^{1100011002101} is an apocalyptic number.

1100011002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100011002101 is a deficient number, since it is larger than the sum of its proper divisors (112335679627).

1100011002101 is a wasteful number, since it uses less digits than its factorization.

1100011002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548252.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1100011002101 its reverse (1012001100011), we get a palindrome (2112012102112).

The spelling of 1100011002101 in words is "one trillion, one hundred billion, eleven million, two thousand, one hundred one".