120112102102122 has 48 divisors (see below), whose sum is σ = 280262372218920. Its totient is φ = 36957464297856.

The previous prime is 120112102102093. The next prime is 120112102102123. The reversal of 120112102102122 is 221201201211021.

120112102102122 is a `hidden beast` number, since 1 + 20 + 11 + 210 + 210 + 212 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41546906684721 + 78565195417401 = 6445689^2 + 8863701^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120112102102095 and 120112102102104.

It is not an unprimeable number, because it can be changed into a prime (120112102102123) 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, 134666404 + ... + 135555392.

Almost surely, 2^{120112102102122} is an apocalyptic number.

120112102102122 is an abundant number, since it is smaller than the sum of its proper divisors (160150270116798).

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

120112102102122 is a wasteful number, since it uses less digits than its factorization.

120112102102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466407 (or 1466404 counting only the distinct ones).

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

Adding to 120112102102122 its reverse (221201201211021), we get a palindrome (341313303313143).

The spelling of 120112102102122 in words is "one hundred twenty trillion, one hundred twelve billion, one hundred two million, one hundred two thousand, one hundred twenty-two".