1001111011101 has 48 divisors (see below), whose sum is σ = 1501937236800. Its totient is φ = 642240804096.

The previous prime is 1001111011067. The next prime is 1001111011111. The reversal of 1001111011101 is 1011101111001.

It is a de Polignac number, because none of the positive numbers 2^k-1001111011101 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001111011111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4699761 + ... + 4908153.

It is an arithmetic number, because the mean of its divisors is an integer number (31290359100).

Almost surely, 2^{1001111011101} is an apocalyptic number.

It is an amenable number.

1001111011101 is a deficient number, since it is larger than the sum of its proper divisors (500826225699).

1001111011101 is a wasteful number, since it uses less digits than its factorization.

1001111011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208650 (or 208647 counting only the distinct ones).

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

Adding to 1001111011101 its reverse (1011101111001), we get a palindrome (2012212122102).

The spelling of 1001111011101 in words is "one trillion, one billion, one hundred eleven million, eleven thousand, one hundred one".