112222012002100 has 864 divisors, whose sum is σ = 335054765122560. Its totient is φ = 32070205440000.

The previous prime is 112222012002091. The next prime is 112222012002103. The reversal of 112222012002100 is 1200210222211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112222012002103) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 86258271450 + ... + 86258272750.

It is an arithmetic number, because the mean of its divisors is an integer number (387794867040).

Almost surely, 2^{112222012002100} is an apocalyptic number.

112222012002100 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 112222012002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167527382561280).

112222012002100 is an abundant number, since it is smaller than the sum of its proper divisors (222832753120460).

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

112222012002100 is a wasteful number, since it uses less digits than its factorization.

112222012002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112222012002100 its reverse (1200210222211), we get a palindrome (113422222224311).

The spelling of 112222012002100 in words is "one hundred twelve trillion, two hundred twenty-two billion, twelve million, two thousand, one hundred".