110010111101101 has 8 divisors (see below), whose sum is σ = 110762234436024. Its totient is φ = 109258638677760.

The previous prime is 110010111101087. The next prime is 110010111101203. The reversal of 110010111101101 is 101101111010011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18094729364100 + 91915381737001 = 4253790^2 + 9587251^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110010111101101 - 2⁵ = 110010111101069 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 (110010112101101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162388720 + ... + 163064761.

It is an arithmetic number, because the mean of its divisors is an integer number (13845279304503).

Almost surely, 2^{110010111101101} is an apocalyptic number.

It is an amenable number.

110010111101101 is a deficient number, since it is larger than the sum of its proper divisors (752123334923).

110010111101101 is a wasteful number, since it uses less digits than its factorization.

110010111101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325455791.

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

Adding to 110010111101101 its reverse (101101111010011), we get a palindrome (211111222111112).

The spelling of 110010111101101 in words is "one hundred ten trillion, ten billion, one hundred eleven million, one hundred one thousand, one hundred one".