112102222121100 has 108 divisors (see below), whose sum is σ = 351398785210200. Its totient is φ = 29892173510400.

The previous prime is 112102222121077. The next prime is 112102222121111. The reversal of 112102222121100 is 1121222201211.

112102222121100 is a `hidden beast` number, since 1 + 1 + 210 + 22 + 221 + 211 + 0 + 0 = 666.

112102222121100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×112102222121100⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 11746840 + ... + 19031360.

It is an arithmetic number, because the mean of its divisors is an integer number (3253692455650).

Almost surely, 2^{112102222121100} is an apocalyptic number.

112102222121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112102222121100 is an abundant number, since it is smaller than the sum of its proper divisors (239296563089100).

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

112102222121100 is a wasteful number, since it uses less digits than its factorization.

112102222121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7301640 (or 7301630 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112102222121100 its reverse (1121222201211), we get a palindrome (113223444322311).

The spelling of 112102222121100 in words is "one hundred twelve trillion, one hundred two billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred".