120122201122101 has 48 divisors (see below), whose sum is σ = 180573535484160. Its totient is φ = 76880272659840.

The previous prime is 120122201122093. The next prime is 120122201122103. The reversal of 120122201122101 is 101221102221021.

120122201122101 is a `hidden beast` number, since 120 + 1 + 2 + 220 + 112 + 210 + 1 = 666.

It is not a de Polignac number, because 120122201122101 - 2³ = 120122201122093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120122201122103) 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 47 ways as a sum of consecutive naturals, for example, 38566491 + ... + 41564631.

It is an arithmetic number, because the mean of its divisors is an integer number (3761948655920).

Almost surely, 2^{120122201122101} is an apocalyptic number.

It is an amenable number.

120122201122101 is a deficient number, since it is larger than the sum of its proper divisors (60451334362059).

120122201122101 is a wasteful number, since it uses less digits than its factorization.

120122201122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999786 (or 2999783 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120122201122101 its reverse (101221102221021), we get a palindrome (221343303343122).

The spelling of 120122201122101 in words is "one hundred twenty trillion, one hundred twenty-two billion, two hundred one million, one hundred twenty-two thousand, one hundred one".