110101100110101 has 48 divisors (see below), whose sum is σ = 166234040481600. Its totient is φ = 70131005328384.

The previous prime is 110101100110093. The next prime is 110101100110109. The reversal of 110101100110101 is 101011001101011.

It is an interprime number because it is at equal distance from previous prime (110101100110093) and next prime (110101100110109).

It is not a de Polignac number, because 110101100110101 - 2³ = 110101100110093 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110101100110109) 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, 224240610 + ... + 224731068.

It is an arithmetic number, because the mean of its divisors is an integer number (3463209176700).

Almost surely, 2^{110101100110101} is an apocalyptic number.

It is an amenable number.

110101100110101 is a deficient number, since it is larger than the sum of its proper divisors (56132940371499).

110101100110101 is a wasteful number, since it uses less digits than its factorization.

110101100110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499458 (or 499455 counting only the distinct ones).

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

Adding to 110101100110101 its reverse (101011001101011), we get a palindrome (211112101211112).

The spelling of 110101100110101 in words is "one hundred ten trillion, one hundred one billion, one hundred million, one hundred ten thousand, one hundred one".