1111111101111 has 32 divisors (see below), whose sum is σ = 1632382606080. Its totient is φ = 666643712000.

The previous prime is 1111111101053. The next prime is 1111111101127. The reversal of 1111111101111 is 1111011111111.

It is a cyclic number.

It is not a de Polignac number, because 1111111101111 - 2⁹ = 1111111100599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111111101181) 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, 31375831 + ... + 31411223.

It is an arithmetic number, because the mean of its divisors is an integer number (51011956440).

Almost surely, 2^{1111111101111} is an apocalyptic number.

1111111101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1111111101111 is a deficient number, since it is larger than the sum of its proper divisors (521271504969).

1111111101111 is a wasteful number, since it uses less digits than its factorization.

1111111101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44927.

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 1111111101111 its reverse (1111011111111), we get a palindrome (2222122212222).

It can be divided in two parts, 1111 and 111101111, that multiplied together give a palindrome (123433334321).

The spelling of 1111111101111 in words is "one trillion, one hundred eleven billion, one hundred eleven million, one hundred one thousand, one hundred eleven".