1100101111101 has 48 divisors (see below), whose sum is σ = 1691411379840. Its totient is φ = 687058329600.

The previous prime is 1100101111069. The next prime is 1100101111103. The reversal of 1100101111101 is 1011111010011.

It is not a de Polignac number, because 1100101111101 - 2⁵ = 1100101111069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

1100101111101 is a modest number, since divided by 1111101 gives 11001 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100101111103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5411701 + ... + 5611301.

It is an arithmetic number, because the mean of its divisors is an integer number (35237737080).

Almost surely, 2^{1100101111101} is an apocalyptic number.

It is an amenable number.

1100101111101 is a deficient number, since it is larger than the sum of its proper divisors (591310268739).

1100101111101 is a wasteful number, since it uses less digits than its factorization.

1100101111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199986 (or 199983 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 1100101111101 its reverse (1011111010011), we get a palindrome (2111212121112).

The spelling of 1100101111101 in words is "one trillion, one hundred billion, one hundred one million, one hundred eleven thousand, one hundred one".