2012122100112 has 240 divisors, whose sum is σ = 5618266693632. Its totient is φ = 620266014720.

The previous prime is 2012122100029. The next prime is 2012122100141. The reversal of 2012122100112 is 2110012212102.

It is a junction number, because it is equal to n+sod(n) for n = 2012122100091 and 2012122100100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400579233 + ... + 400584255.

Almost surely, 2^{2012122100112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012122100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809133346816).

2012122100112 is an abundant number, since it is smaller than the sum of its proper divisors (3606144593520).

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

2012122100112 is a wasteful number, since it uses less digits than its factorization.

2012122100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5566 (or 5543 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2012122100112 its reverse (2110012212102), we get a palindrome (4122134312214).

The spelling of 2012122100112 in words is "two trillion, twelve billion, one hundred twenty-two million, one hundred thousand, one hundred twelve".