110112121010100 has 144 divisors (see below), whose sum is σ = 347617875157056. Its totient is φ = 26688933504000.

The previous prime is 110112121010077. The next prime is 110112121010183. The reversal of 110112121010100 is 1010121211011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 14873560 + ... + 21010640.

It is an arithmetic number, because the mean of its divisors is an integer number (2414013021924).

Almost surely, 2^{110112121010100} is an apocalyptic number.

110112121010100 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 110112121010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173808937578528).

110112121010100 is an abundant number, since it is smaller than the sum of its proper divisors (237505754146956).

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

110112121010100 is a wasteful number, since it uses less digits than its factorization.

110112121010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6142546 (or 6142539 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110112121010100 its reverse (1010121211011), we get a palindrome (111122242221111).

The spelling of 110112121010100 in words is "one hundred ten trillion, one hundred twelve billion, one hundred twenty-one million, ten thousand, one hundred".