110101010001100 has 72 divisors (see below), whose sum is σ = 241977162470400. Its totient is φ = 43476877953600.

The previous prime is 110101010000987. The next prime is 110101010001133. The reversal of 110101010001100 is 1100010101011.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56000541 + ... + 57933259.

It is an arithmetic number, because the mean of its divisors is an integer number (3360793923200).

Almost surely, 2^{110101010001100} is an apocalyptic number.

110101010001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110101010001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120988581235200).

110101010001100 is an abundant number, since it is smaller than the sum of its proper divisors (131876152469300).

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

110101010001100 is a wasteful number, since it uses less digits than its factorization.

110101010001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940023 (or 1940016 counting only the distinct ones).

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

Adding to 110101010001100 its reverse (1100010101011), we get a palindrome (111201020102111).

The spelling of 110101010001100 in words is "one hundred ten trillion, one hundred one billion, ten million, one thousand, one hundred".