122101022122112 has 128 divisors (see below), whose sum is σ = 266720684544000. Its totient is φ = 55216264688640.

The previous prime is 122101022122103. The next prime is 122101022122159. The reversal of 122101022122112 is 211221220101221.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5458969553 + ... + 5458991919.

It is an arithmetic number, because the mean of its divisors is an integer number (2083755348000).

Almost surely, 2^{122101022122112} 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 122101022122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133360342272000).

122101022122112 is an abundant number, since it is smaller than the sum of its proper divisors (144619662421888).

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

122101022122112 is a wasteful number, since it uses less digits than its factorization.

122101022122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42074 (or 42062 counting only the distinct ones).

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

Adding to 122101022122112 its reverse (211221220101221), we get a palindrome (333322242223333).

The spelling of 122101022122112 in words is "one hundred twenty-two trillion, one hundred one billion, twenty-two million, one hundred twenty-two thousand, one hundred twelve".