110101001100 has 72 divisors (see below), whose sum is σ = 322138288080. Its totient is φ = 29030369280.

The previous prime is 110101001083. The next prime is 110101001113. The reversal of 110101001100 is 1100101011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2035117 + ... + 2088516.

It is an arithmetic number, because the mean of its divisors is an integer number (4474142890).

Almost surely, 2^110101001100 is an apocalyptic number.

110101001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110101001100 is an abundant number, since it is smaller than the sum of its proper divisors (212037286980).

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

110101001100 is a wasteful number, since it uses less digits than its factorization.

110101001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4123739 (or 4123732 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 110101001100 its reverse (1100101011), we get a palindrome (111201102111).

The spelling of 110101001100 in words is "one hundred ten billion, one hundred one million, one thousand, one hundred".