10001100101111 has 16 divisors (see below), whose sum is σ = 11533324154880. Its totient is φ = 8494934516640.

The previous prime is 10001100101093. The next prime is 10001100101129. The reversal of 10001100101111 is 11110100110001.

It is an interprime number because it is at equal distance from previous prime (10001100101093) and next prime (10001100101129).

It is a cyclic number.

It is not a de Polignac number, because 10001100101111 - 2¹⁰ = 10001100100087 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 (10001100101911) 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, 7041191 + ... + 8341496.

It is an arithmetic number, because the mean of its divisors is an integer number (720832759680).

Almost surely, 2^{10001100101111} is an apocalyptic number.

10001100101111 is a deficient number, since it is larger than the sum of its proper divisors (1532224053769).

10001100101111 is a wasteful number, since it uses less digits than its factorization.

10001100101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15383534.

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

Adding to 10001100101111 its reverse (11110100110001), we get a palindrome (21111200211112).

The spelling of 10001100101111 in words is "ten trillion, one billion, one hundred million, one hundred one thousand, one hundred eleven".