10120000012122 has 256 divisors, whose sum is σ = 27461446225920. Its totient is φ = 2400862464000.

The previous prime is 10120000012081. The next prime is 10120000012159. The reversal of 10120000012122 is 22121000002101.

It is a junction number, because it is equal to n+sod(n) for n = 10120000012098 and 10120000012107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1215027654 + ... + 1215035982.

It is an arithmetic number, because the mean of its divisors is an integer number (107271274320).

Almost surely, 2^{10120000012122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120000012122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13730723112960).

10120000012122 is an abundant number, since it is smaller than the sum of its proper divisors (17341446213798).

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

10120000012122 is a wasteful number, since it uses less digits than its factorization.

10120000012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10469.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10120000012122 its reverse (22121000002101), we get a palindrome (32241000014223).

The spelling of 10120000012122 in words is "ten trillion, one hundred twenty billion, twelve thousand, one hundred twenty-two".