1001111101011 has 48 divisors (see below), whose sum is σ = 1664728198848. Its totient is φ = 567889920000.

The previous prime is 1001111101009. The next prime is 1001111101061. The reversal of 1001111101011 is 1101011111001.

It is not a de Polignac number, because 1001111101011 - 2¹ = 1001111101009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001111100984 and 1001111101002.

It is not an unprimeable number, because it can be changed into a prime (1001111101061) 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 47 ways as a sum of consecutive naturals, for example, 4709011 + ... + 4917011.

It is an arithmetic number, because the mean of its divisors is an integer number (34681837476).

Almost surely, 2^{1001111101011} is an apocalyptic number.

1001111101011 is a deficient number, since it is larger than the sum of its proper divisors (663617097837).

1001111101011 is a wasteful number, since it uses less digits than its factorization.

1001111101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208572 (or 208569 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 1001111101011 its reverse (1101011111001), we get a palindrome (2102122212012).

The spelling of 1001111101011 in words is "one trillion, one billion, one hundred eleven million, one hundred one thousand, eleven".