1001100101111 has 16 divisors (see below), whose sum is σ = 1095702733440. Its totient is φ = 907097174880.

The previous prime is 1001100101011. The next prime is 1001100101123. The reversal of 1001100101111 is 1111010011001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001100101111 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 (1001100101161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34531220 + ... + 34560198.

It is an arithmetic number, because the mean of its divisors is an integer number (68481420840).

Almost surely, 2^{1001100101111} is an apocalyptic number.

1001100101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001100101111 is a deficient number, since it is larger than the sum of its proper divisors (94602632329).

1001100101111 is a wasteful number, since it uses less digits than its factorization.

1001100101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39214.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1001100101111 its reverse (1111010011001), we get a palindrome (2112110112112).

The spelling of 1001100101111 in words is "one trillion, one billion, one hundred million, one hundred one thousand, one hundred eleven".