112122202220100 has 288 divisors, whose sum is σ = 379453505088000. Its totient is φ = 28323352632960.

The previous prime is 112122202220089. The next prime is 112122202220101. The reversal of 112122202220100 is 1022202221211.

It is a happy number.

112122202220100 is a `hidden beast` number, since 1 + 1 + 212 + 220 + 2 + 220 + 10 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (112122202220101) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 698574459 + ... + 698734941.

Almost surely, 2^{112122202220100} is an apocalyptic number.

112122202220100 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 112122202220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189726752544000).

112122202220100 is an abundant number, since it is smaller than the sum of its proper divisors (267331302867900).

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

112122202220100 is a wasteful number, since it uses less digits than its factorization.

112122202220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174144 (or 174131 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112122202220100 its reverse (1022202221211), we get a palindrome (113144404441311).

The spelling of 112122202220100 in words is "one hundred twelve trillion, one hundred twenty-two billion, two hundred two million, two hundred twenty thousand, one hundred".