112112101121202 has 240 divisors, whose sum is σ = 314772763175640. Its totient is φ = 29561926883328.

The previous prime is 112112101121131. The next prime is 112112101121213. The reversal of 112112101121202 is 202121101211211.

It is a happy number.

112112101121202 is a `hidden beast` number, since 11 + 211 + 210 + 11 + 21 + 202 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108125453958921 + 3986647162281 = 10398339^2 + 1996659^2 .

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 119 ways as a sum of consecutive naturals, for example, 511423074 + ... + 511642242.

Almost surely, 2^{112112101121202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112112101121202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157386381587820).

112112101121202 is an abundant number, since it is smaller than the sum of its proper divisors (202660662054438).

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

112112101121202 is a wasteful number, since it uses less digits than its factorization.

112112101121202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224167 (or 224151 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112112101121202 its reverse (202121101211211), we get a palindrome (314233202332413).

Subtracting 112112101121202 from its reverse (202121101211211), we obtain a palindrome (90009000090009).

The spelling of 112112101121202 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred one million, one hundred twenty-one thousand, two hundred two".