10122122122112 has 512 divisors, whose sum is σ = 27691885670400. Its totient is φ = 3558297600000.

The previous prime is 10122122122109. The next prime is 10122122122121. The reversal of 10122122122112 is 21122122122101.

10122122122112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1022328362 + ... + 1022338262.

It is an arithmetic number, because the mean of its divisors is an integer number (54085714200).

Almost surely, 2^{10122122122112} 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 10122122122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13845942835200).

10122122122112 is an abundant number, since it is smaller than the sum of its proper divisors (17569763548288).

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

10122122122112 is a wasteful number, since it uses less digits than its factorization.

10122122122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10126 (or 10114 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 10122122122112 its reverse (21122122122101), we get a palindrome (31244244244213).

The spelling of 10122122122112 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".