110101011101100 has 108 divisors (see below), whose sum is σ = 345166502018520. Its totient is φ = 29355080025600.

The previous prime is 110101011101083. The next prime is 110101011101131. The reversal of 110101011101100 is 1101110101011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5715741 + ... + 15901940.

Almost surely, 2^{110101011101100} is an apocalyptic number.

110101011101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110101011101100 is an abundant number, since it is smaller than the sum of its proper divisors (235065490917420).

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

110101011101100 is a wasteful number, since it uses less digits than its factorization.

110101011101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21623360 (or 21623350 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 110101011101100 its reverse (1101110101011), we get a palindrome (111202121202111).

The spelling of 110101011101100 in words is "one hundred ten trillion, one hundred one billion, eleven million, one hundred one thousand, one hundred".