110101100101110 has 192 divisors, whose sum is σ = 289695277872000. Its totient is φ = 29009862236160.

The previous prime is 110101100101081. The next prime is 110101100101127. The reversal of 110101100101110 is 11101001101011.

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

It is a junction number, because it is equal to n+sod(n) for n = 110101100101092 and 110101100101101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5699100031 + ... + 5699119349.

It is an arithmetic number, because the mean of its divisors is an integer number (1508829572250).

Almost surely, 2^{110101100101110} is an apocalyptic number.

110101100101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110101100101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144847638936000).

110101100101110 is an abundant number, since it is smaller than the sum of its proper divisors (179594177770890).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110101100101110 is a wasteful number, since it uses less digits than its factorization.

110101100101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21031 (or 21028 counting only the distinct ones).

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

Adding to 110101100101110 its reverse (11101001101011), we get a palindrome (121202101202121).

Subtracting from 110101100101110 its reverse (11101001101011), we obtain a palindrome (99000099000099).

The spelling of 110101100101110 in words is "one hundred ten trillion, one hundred one billion, one hundred million, one hundred one thousand, one hundred ten".