112201212100 has 72 divisors (see below), whose sum is σ = 259108181640. Its totient is φ = 42025912320.

The previous prime is 112201212073. The next prime is 112201212157. The reversal of 112201212100 is 1212102211.

It can be written as a sum of positive squares in 12 ways, for example, as 4765417024 + 107435795076 = 69032^2 + 327774^2 .

It is a super-2 number, since 2×112201212100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167386 + ... + 502414.

It is an arithmetic number, because the mean of its divisors is an integer number (3598724745).

Almost surely, 2^112201212100 is an apocalyptic number.

112201212100 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 112201212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129554090820).

112201212100 is an abundant number, since it is smaller than the sum of its proper divisors (146906969540).

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

112201212100 is a wasteful number, since it uses less digits than its factorization.

112201212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335257 (or 335250 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112201212100 its reverse (1212102211), we get a palindrome (113413314311).

The spelling of 112201212100 in words is "one hundred twelve billion, two hundred one million, two hundred twelve thousand, one hundred".