112022100212202 has 128 divisors (see below), whose sum is σ = 255352944000000. Its totient is φ = 36382791332160.

The previous prime is 112022100212147. The next prime is 112022100212207. The reversal of 112022100212202 is 202212001220211.

It is a happy number.

112022100212202 is a `hidden beast` number, since 11 + 20 + 221 + 0 + 0 + 212 + 202 = 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 (112022100212207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2712444549 + ... + 2712485847.

It is an arithmetic number, because the mean of its divisors is an integer number (1994944875000).

Almost surely, 2^{112022100212202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112022100212202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127676472000000).

112022100212202 is an abundant number, since it is smaller than the sum of its proper divisors (143330843787798).

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

112022100212202 is a wasteful number, since it uses less digits than its factorization.

112022100212202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44193 (or 44187 counting only the distinct ones).

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

Adding to 112022100212202 its reverse (202212001220211), we get a palindrome (314234101432413).

The spelling of 112022100212202 in words is "one hundred twelve trillion, twenty-two billion, one hundred million, two hundred twelve thousand, two hundred two".