110112221201100 has 72 divisors (see below), whose sum is σ = 318746545113360. Its totient is φ = 29348956212480.

The previous prime is 110112221201093. The next prime is 110112221201117. The reversal of 110112221201100 is 1102122211011.

It is a happy number.

It is a super-3 number, since 3×110112221201100³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110112221201100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88775415 + ... + 90007214.

Almost surely, 2^{110112221201100} is an apocalyptic number.

110112221201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110112221201100 is an abundant number, since it is smaller than the sum of its proper divisors (208634323912260).

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

110112221201100 is a wasteful number, since it uses less digits than its factorization.

110112221201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178784699 (or 178784692 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110112221201100 its reverse (1102122211011), we get a palindrome (111214343412111).

The spelling of 110112221201100 in words is "one hundred ten trillion, one hundred twelve billion, two hundred twenty-one million, two hundred one thousand, one hundred".