110112100112100 has 72 divisors (see below), whose sum is σ = 318593128609728. Its totient is φ = 29363031401600.

The previous prime is 110112100112081. The next prime is 110112100112111. The reversal of 110112100112100 is 1211001211011.

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

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, 47149990 + ... + 49430210.

It is an arithmetic number, because the mean of its divisors is an integer number (4424904564024).

Almost surely, 2^{110112100112100} is an apocalyptic number.

110112100112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110112100112100 is an abundant number, since it is smaller than the sum of its proper divisors (208481028497628).

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

110112100112100 is a wasteful number, since it uses less digits than its factorization.

110112100112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441205 (or 2441198 counting only the distinct ones).

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

Adding to 110112100112100 its reverse (1211001211011), we get a palindrome (111323101323111).

The spelling of 110112100112100 in words is "one hundred ten trillion, one hundred twelve billion, one hundred million, one hundred twelve thousand, one hundred".