120222202120101 has 24 divisors (see below), whose sum is σ = 174457481229720. Its totient is φ = 79778038233600.

The previous prime is 120222202120099. The next prime is 120222202120151. The reversal of 120222202120101 is 101021202222021.

It is a happy number.

120222202120101 is a `hidden beast` number, since 1 + 20 + 222 + 202 + 120 + 101 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21495602232225 + 98726599887876 = 4636335^2 + 9936126^2 .

It is not a de Polignac number, because 120222202120101 - 2¹ = 120222202120099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120222202120151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22879216 + ... + 27638793.

It is an arithmetic number, because the mean of its divisors is an integer number (7269061717905).

Almost surely, 2^{120222202120101} is an apocalyptic number.

It is an amenable number.

120222202120101 is a deficient number, since it is larger than the sum of its proper divisors (54235279109619).

120222202120101 is a wasteful number, since it uses less digits than its factorization.

120222202120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50519237 (or 50519234 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120222202120101 its reverse (101021202222021), we get a palindrome (221243404342122).

The spelling of 120222202120101 in words is "one hundred twenty trillion, two hundred twenty-two billion, two hundred two million, one hundred twenty thousand, one hundred one".