120022121220101 has 12 divisors (see below), whose sum is σ = 127546192879620. Its totient is φ = 112918896913920.

The previous prime is 120022121220091. The next prime is 120022121220161. The reversal of 120022121220101 is 101022121220021.

It can be written as a sum of positive squares in 6 ways, for example, as 51105126976225 + 68916994243876 = 7148785^2 + 8301626^2 .

It is not a de Polignac number, because 120022121220101 - 2¹⁴ = 120022121203717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120022121220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120022121220161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78468296 + ... + 79983233.

It is an arithmetic number, because the mean of its divisors is an integer number (10628849406635).

Almost surely, 2^{120022121220101} is an apocalyptic number.

It is an amenable number.

120022121220101 is a deficient number, since it is larger than the sum of its proper divisors (7524071659519).

120022121220101 is a wasteful number, since it uses less digits than its factorization.

120022121220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158454184 (or 158454167 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 120022121220101 its reverse (101022121220021), we get a palindrome (221044242440122).

The spelling of 120022121220101 in words is "one hundred twenty trillion, twenty-two billion, one hundred twenty-one million, two hundred twenty thousand, one hundred one".