110000001101100 has 144 divisors (see below), whose sum is σ = 347408299195776. Its totient is φ = 26650668800000.

The previous prime is 110000001100967. The next prime is 110000001101101. The reversal of 110000001101100 is 1101100000011.

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 not an unprimeable number, because it can be changed into a prime (110000001101101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4496901 + ... + 15499100.

It is an arithmetic number, because the mean of its divisors is an integer number (2412557633304).

Almost surely, 2^{110000001101100} is an apocalyptic number.

110000001101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110000001101100 is an abundant number, since it is smaller than the sum of its proper divisors (237408298094676).

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

110000001101100 is a wasteful number, since it uses less digits than its factorization.

110000001101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19997696 (or 19997689 counting only the distinct ones).

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

Adding to 110000001101100 its reverse (1101100000011), we get a palindrome (111101101101111).

The spelling of 110000001101100 in words is "one hundred ten trillion, one million, one hundred one thousand, one hundred".