110110100101101 has 24 divisors (see below), whose sum is σ = 159734933280000. Its totient is φ = 73090334080512.

The previous prime is 110110100101033. The next prime is 110110100101139. The reversal of 110110100101101 is 101101001011011.

It is not a de Polignac number, because 110110100101101 - 2¹⁴ = 110110100084717 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110110100101151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26507191 + ... + 30378468.

It is an arithmetic number, because the mean of its divisors is an integer number (6655622220000).

Almost surely, 2^{110110100101101} is an apocalyptic number.

It is an amenable number.

110110100101101 is a deficient number, since it is larger than the sum of its proper divisors (49624833178899).

110110100101101 is a wasteful number, since it uses less digits than its factorization.

110110100101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56886593 (or 56886590 counting only the distinct ones).

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

Adding to 110110100101101 its reverse (101101001011011), we get a palindrome (211211101112112).

The spelling of 110110100101101 in words is "one hundred ten trillion, one hundred ten billion, one hundred million, one hundred one thousand, one hundred one".