111101110101100 has 108 divisors (see below), whose sum is σ = 283227688361520. Its totient is φ = 37714662384000.

The previous prime is 111101110101073. The next prime is 111101110101119. The reversal of 111101110101100 is 1101011101111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 111751120 + ... + 112740919.

It is an arithmetic number, because the mean of its divisors is an integer number (2622478595940).

Almost surely, 2^{111101110101100} is an apocalyptic number.

111101110101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111101110101100 is an abundant number, since it is smaller than the sum of its proper divisors (172126578260420).

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

111101110101100 is a wasteful number, since it uses less digits than its factorization.

111101110101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224492168 (or 224492154 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 111101110101100 its reverse (1101011101111), we get a palindrome (112202121202211).

The spelling of 111101110101100 in words is "one hundred eleven trillion, one hundred one billion, one hundred ten million, one hundred one thousand, one hundred".