111101100101000 has 64 divisors (see below), whose sum is σ = 260055338877360. Its totient is φ = 44426976000000.

The previous prime is 111101100100997. The next prime is 111101100101009. The reversal of 111101100101000 is 101001101111.

It can be written as a sum of positive squares in 8 ways, for example, as 4851719886244 + 106249380214756 = 2202662^2 + 10307734^2 .

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

It is not an unprimeable number, because it can be changed into a prime (111101100101009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13527401 + ... + 20129400.

Almost surely, 2^{111101100101000} is an apocalyptic number.

111101100101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111101100101000 is an abundant number, since it is smaller than the sum of its proper divisors (148954238776360).

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

111101100101000 is a wasteful number, since it uses less digits than its factorization.

111101100101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33660123 (or 33660109 counting only the distinct ones).

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

Adding to 111101100101000 its reverse (101001101111), we get a palindrome (111202101202111).

The spelling of 111101100101000 in words is "one hundred eleven trillion, one hundred one billion, one hundred million, one hundred one thousand".