1101111111111 has 64 divisors (see below), whose sum is σ = 1676411043840. Its totient is φ = 636745200000.

The previous prime is 1101111111103. The next prime is 1101111111119. The reversal of 1101111111111 is 1111111111011.

It is an interprime number because it is at equal distance from previous prime (1101111111103) and next prime (1101111111119).

It is not a de Polignac number, because 1101111111111 - 2³ = 1101111111103 is a prime.

1101111111111 is a modest number, since divided by 1111111 gives 110111 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101111111119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48386986 + ... + 48409736.

It is an arithmetic number, because the mean of its divisors is an integer number (26193922560).

Almost surely, 2^{1101111111111} is an apocalyptic number.

1101111111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1101111111111 is a deficient number, since it is larger than the sum of its proper divisors (575299932729).

1101111111111 is a wasteful number, since it uses less digits than its factorization.

1101111111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23388.

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

Adding to 1101111111111 its reverse (1111111111011), we get a palindrome (2212222222122).

It can be divided in two parts, 11011 and 11111111, that multiplied together give a palindrome (122344443221).

The spelling of 1101111111111 in words is "one trillion, one hundred one billion, one hundred eleven million, one hundred eleven thousand, one hundred eleven".