110100110101000 has 32 divisors (see below), whose sum is σ = 257634257638680. Its totient is φ = 44040044040000.

The previous prime is 110100110100991. The next prime is 110100110101021. The reversal of 110100110101000 is 101011001011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33096571773444 + 77003538327556 = 5752962^2 + 8775166^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55050054051 + ... + 55050056050.

Almost surely, 2^{110100110101000} is an apocalyptic number.

110100110101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110100110101000 is an abundant number, since it is smaller than the sum of its proper divisors (147534147537680).

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

110100110101000 is a wasteful number, since it uses less digits than its factorization.

110100110101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110100110122 (or 110100110108 counting only the distinct ones).

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

Adding to 110100110101000 its reverse (101011001011), we get a palindrome (110201121102011).

The spelling of 110100110101000 in words is "one hundred ten trillion, one hundred billion, one hundred ten million, one hundred one thousand".