1101111111101 has 16 divisors (see below), whose sum is σ = 1110203877888. Its totient is φ = 1092060446400.

The previous prime is 1101111111071. The next prime is 1101111111103. The reversal of 1101111111101 is 1011111111011.

It is a cyclic number.

It is not a de Polignac number, because 1101111111101 - 2²² = 1101106916797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101111111103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117874691 + ... + 117884031.

It is an arithmetic number, because the mean of its divisors is an integer number (69387742368).

Almost surely, 2^{1101111111101} is an apocalyptic number.

It is an amenable number.

1101111111101 is a deficient number, since it is larger than the sum of its proper divisors (9092766787).

1101111111101 is a wasteful number, since it uses less digits than its factorization.

1101111111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11492.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 1101111111101 its reverse (1011111111011), we get a palindrome (2112222222112).

The spelling of 1101111111101 in words is "one trillion, one hundred one billion, one hundred eleven million, one hundred eleven thousand, one hundred one".