110100110000101 has 24 divisors (see below), whose sum is σ = 119748401593920. Its totient is φ = 101181368620800.

The previous prime is 110100110000081. The next prime is 110100110000107. The reversal of 110100110000101 is 101000011001011.

It is a happy number.

It is not a de Polignac number, because 110100110000101 - 2⁷ = 110100109999973 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 (110100110000107) 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, 148658016 + ... + 149396806.

It is an arithmetic number, because the mean of its divisors is an integer number (4989516733080).

Almost surely, 2^{110100110000101} is an apocalyptic number.

It is an amenable number.

110100110000101 is a deficient number, since it is larger than the sum of its proper divisors (9648291593819).

110100110000101 is a wasteful number, since it uses less digits than its factorization.

110100110000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742717 (or 742704 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 110100110000101 its reverse (101000011001011), we get a palindrome (211100121001112).

The spelling of 110100110000101 in words is "one hundred ten trillion, one hundred billion, one hundred ten million, one hundred one", and thus it is an aban number.