1001100111011 has 32 divisors (see below), whose sum is σ = 1344570931200. Its totient is φ = 719838161280.

The previous prime is 1001100110993. The next prime is 1001100111029. The reversal of 1001100111011 is 1101110011001.

It is an interprime number because it is at equal distance from previous prime (1001100110993) and next prime (1001100111029).

It is not a de Polignac number, because 1001100111011 - 2¹⁴ = 1001100094627 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001100111011.

It is not an unprimeable number, because it can be changed into a prime (1001100111041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2951270 + ... + 3272948.

It is an arithmetic number, because the mean of its divisors is an integer number (42017841600).

Almost surely, 2^{1001100111011} is an apocalyptic number.

1001100111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001100111011 is a deficient number, since it is larger than the sum of its proper divisors (343470820189).

1001100111011 is a wasteful number, since it uses less digits than its factorization.

1001100111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324819.

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

Adding to 1001100111011 its reverse (1101110011001), we get a palindrome (2102210122012).

It can be divided in two parts, 10011001 and 11011, that multiplied together give a palindrome (110231132011).

The spelling of 1001100111011 in words is "one trillion, one billion, one hundred million, one hundred eleven thousand, eleven".