1101000111101 has 16 divisors (see below), whose sum is σ = 1216247505408. Its totient is φ = 988334814000.

The previous prime is 1101000111049. The next prime is 1101000111109. The reversal of 1101000111101 is 1011110001011.

It is a cyclic number.

It is not a de Polignac number, because 1101000111101 - 2³⁰ = 1099926369277 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 (1101000111109) 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, 1007075 + ... + 1793376.

It is an arithmetic number, because the mean of its divisors is an integer number (76015469088).

Almost surely, 2^{1101000111101} is an apocalyptic number.

1101000111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101000111101 is a deficient number, since it is larger than the sum of its proper divisors (115247394307).

1101000111101 is a wasteful number, since it uses less digits than its factorization.

1101000111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800912.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1101000111101 its reverse (1011110001011), we get a palindrome (2112110112112).

The spelling of 1101000111101 in words is "one trillion, one hundred one billion, one hundred eleven thousand, one hundred one".