1100001010101 has 32 divisors (see below), whose sum is σ = 1697599488000. Its totient is φ = 620545985280.

The previous prime is 1100001010099. The next prime is 1100001010111. The reversal of 1100001010101 is 1010101000011.

It is not a de Polignac number, because 1100001010101 - 2¹ = 1100001010099 is a prime.

1100001010101 is a modest number, since divided by 1010101 gives 11000 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 1100001010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100001010111) 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 31 ways as a sum of consecutive naturals, for example, 17220061 + ... + 17283821.

It is an arithmetic number, because the mean of its divisors is an integer number (53049984000).

Almost surely, 2^{1100001010101} is an apocalyptic number.

It is an amenable number.

1100001010101 is a deficient number, since it is larger than the sum of its proper divisors (597598477899).

1100001010101 is a wasteful number, since it uses less digits than its factorization.

1100001010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74249.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1100001010101 its reverse (1010101000011), we get a palindrome (2110102010112).

The spelling of 1100001010101 in words is "one trillion, one hundred billion, one million, ten thousand, one hundred one".