2012100122112 has 320 divisors, whose sum is σ = 5684763009024. Its totient is φ = 631461150720.

The previous prime is 2012100122111. The next prime is 2012100122167. The reversal of 2012100122112 is 2112210012102.

It is a super-2 number, since 2×2012100122112² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2012100122091 and 2012100122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012100122111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387163098 + ... + 387168294.

Almost surely, 2^{2012100122112} 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 2012100122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842381504512).

2012100122112 is an abundant number, since it is smaller than the sum of its proper divisors (3672662886912).

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

2012100122112 is a wasteful number, since it uses less digits than its factorization.

2012100122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5469 (or 5453 counting only the distinct ones).

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

Adding to 2012100122112 its reverse (2112210012102), we get a palindrome (4124310134214).

The spelling of 2012100122112 in words is "two trillion, twelve billion, one hundred million, one hundred twenty-two thousand, one hundred twelve".