1011101101111 has 8 divisors (see below), whose sum is σ = 1019316602880. Its totient is φ = 1002889569528.

The previous prime is 1011101101057. The next prime is 1011101101117. The reversal of 1011101101111 is 1111011011101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1011101101111 - 2³⁷ = 873662147639 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 (1011101101117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480061 + ... + 1500886.

It is an arithmetic number, because the mean of its divisors is an integer number (127414575360).

Almost surely, 2^{1011101101111} is an apocalyptic number.

1011101101111 is a deficient number, since it is larger than the sum of its proper divisors (8215501769).

1011101101111 is a wasteful number, since it uses less digits than its factorization.

1011101101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985093.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 1011101101111 its reverse (1111011011101), we get a palindrome (2122112112212).

The spelling of 1011101101111 in words is "one trillion, eleven billion, one hundred one million, one hundred one thousand, one hundred eleven".