110100111001100 has 144 divisors (see below), whose sum is σ = 266709531580800. Its totient is φ = 39103680268800.

The previous prime is 110100111001093. The next prime is 110100111001193. The reversal of 110100111001100 is 1100111001011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1925034104 + ... + 1925091296.

Almost surely, 2^{110100111001100} is an apocalyptic number.

110100111001100 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 110100111001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133354765790400).

110100111001100 is an abundant number, since it is smaller than the sum of its proper divisors (156609420579700).

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

110100111001100 is a wasteful number, since it uses less digits than its factorization.

110100111001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97960 (or 97953 counting only the distinct ones).

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

Adding to 110100111001100 its reverse (1100111001011), we get a palindrome (111200222002111).

The spelling of 110100111001100 in words is "one hundred ten trillion, one hundred billion, one hundred eleven million, one thousand, one hundred".