110101101001000 has 64 divisors (see below), whose sum is σ = 272791669110480. Its totient is φ = 41449826252800.

The previous prime is 110101101000977. The next prime is 110101101001007. The reversal of 110101101001000 is 100101101011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10710290384964 + 99390810616036 = 3272658^2 + 9969494^2 .

It is not an unprimeable number, because it can be changed into a prime (110101101001007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3238250677 + ... + 3238284676.

Almost surely, 2^{110101101001000} is an apocalyptic number.

110101101001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110101101001000 is an abundant number, since it is smaller than the sum of its proper divisors (162690568109480).

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

110101101001000 is a wasteful number, since it uses less digits than its factorization.

110101101001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6476535391 (or 6476535377 counting only the distinct ones).

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

Adding to 110101101001000 its reverse (100101101011), we get a palindrome (110201202102011).

It can be divided in two parts, 110101 and 101001000, that added together give a palindrome (101111101).

The spelling of 110101101001000 in words is "one hundred ten trillion, one hundred one billion, one hundred one million, one thousand".