110101101101000 has 64 divisors (see below), whose sum is σ = 257638949268480. Its totient is φ = 44040034852800.

The previous prime is 110101101100993. The next prime is 110101101101027. The reversal of 110101101101000 is 101101101011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123221849 + ... + 124112151.

It is an arithmetic number, because the mean of its divisors is an integer number (4025608582320).

Almost surely, 2^{110101101101000} is an apocalyptic number.

110101101101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110101101101000 is an abundant number, since it is smaller than the sum of its proper divisors (147537848167480).

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

110101101101000 is a wasteful number, since it uses less digits than its factorization.

110101101101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013991 (or 1013977 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 110101101101000 its reverse (101101101011), we get a palindrome (110202202202011).

The spelling of 110101101101000 in words is "one hundred ten trillion, one hundred one billion, one hundred one million, one hundred one thousand".