1101101111101 has 32 divisors (see below), whose sum is σ = 1150080583680. Its totient is φ = 1053399945600.

The previous prime is 1101101111087. The next prime is 1101101111113. The reversal of 1101101111101 is 1011111011011.

It is a happy number.

It is not a de Polignac number, because 1101101111101 - 2⁷ = 1101101110973 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 (1101101111701) 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, 260984170 + ... + 260988388.

It is an arithmetic number, because the mean of its divisors is an integer number (35940018240).

Almost surely, 2^{1101101111101} is an apocalyptic number.

It is an amenable number.

1101101111101 is a deficient number, since it is larger than the sum of its proper divisors (48979472579).

1101101111101 is a wasteful number, since it uses less digits than its factorization.

1101101111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4897.

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

Adding to 1101101111101 its reverse (1011111011011), we get a palindrome (2112212122112).

The spelling of 1101101111101 in words is "one trillion, one hundred one billion, one hundred one million, one hundred eleven thousand, one hundred one".