110101100112 has 60 divisors (see below), whose sum is σ = 309911331444. Its totient is φ = 36488217600.

The previous prime is 110101100107. The next prime is 110101100159. The reversal of 110101100112 is 211001101011.

It can be written as a sum of positive squares in 2 ways, for example, as 48975460416 + 61125639696 = 221304^2 + 247236^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 110101100094 and 110101100103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2184889 + ... + 2234712.

Almost surely, 2^110101100112 is an apocalyptic number.

110101100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110101100112 is an abundant number, since it is smaller than the sum of its proper divisors (199810231332).

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

110101100112 is a wasteful number, since it uses less digits than its factorization.

110101100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4419788 (or 4419779 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110101100112 its reverse (211001101011), we get a palindrome (321102201123).

The spelling of 110101100112 in words is "one hundred ten billion, one hundred one million, one hundred thousand, one hundred twelve".