122102100221121 has 48 divisors (see below), whose sum is σ = 181832409844176. Its totient is φ = 78897382207488.

The previous prime is 122102100221119. The next prime is 122102100221173. The reversal of 122102100221121 is 121122001201221.

122102100221121 is a `hidden beast` number, since 1 + 2 + 210 + 210 + 0 + 221 + 1 + 21 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5343032250000 + 116759067971121 = 2311500^2 + 10805511^2 .

It is not a de Polignac number, because 122102100221121 - 2¹ = 122102100221119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122102100221094 and 122102100221103.

It is not an unprimeable number, because it can be changed into a prime (122102100221191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161490471 + ... + 162244803.

It is an arithmetic number, because the mean of its divisors is an integer number (3788175205087).

Almost surely, 2^{122102100221121} is an apocalyptic number.

It is an amenable number.

122102100221121 is a deficient number, since it is larger than the sum of its proper divisors (59730309623055).

122102100221121 is a wasteful number, since it uses less digits than its factorization.

122102100221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756242 (or 756239 counting only the distinct ones).

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

Adding to 122102100221121 its reverse (121122001201221), we get a palindrome (243224101422342).

It can be divided in two parts, 122102100 and 221121, that added together give a palindrome (122323221).

The spelling of 122102100221121 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred million, two hundred twenty-one thousand, one hundred twenty-one".