1011001011111 has 64 divisors (see below), whose sum is σ = 1847404195840. Its totient is φ = 532122877440.

The previous prime is 1011001011073. The next prime is 1011001011113. The reversal of 1011001011111 is 1111101001101.

It is not a de Polignac number, because 1011001011111 - 2⁶ = 1011001011047 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 = 1011001011093 and 1011001011102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011001011113) 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 63 ways as a sum of consecutive naturals, for example, 693231 + ... + 1581951.

It is an arithmetic number, because the mean of its divisors is an integer number (28865690560).

Almost surely, 2^{1011001011111} is an apocalyptic number.

1011001011111 is a deficient number, since it is larger than the sum of its proper divisors (836403184729).

1011001011111 is a wasteful number, since it uses less digits than its factorization.

1011001011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889213 (or 889207 counting only the distinct ones).

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

Adding to 1011001011111 its reverse (1111101001101), we get a palindrome (2122102012212).

The spelling of 1011001011111 in words is "one trillion, eleven billion, one million, eleven thousand, one hundred eleven".