122122102120 has 32 divisors (see below), whose sum is σ = 274837617000. Its totient is φ = 48837660928.

The previous prime is 122122102103. The next prime is 122122102163. The reversal of 122122102120 is 21201221221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 62877568516 + 59244533604 = 250754^2 + 243402^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122122102094 and 122122102103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171295 + ... + 523054.

Almost surely, 2^122122102120 is an apocalyptic number.

122122102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122122102120 is an abundant number, since it is smaller than the sum of its proper divisors (152715514880).

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

122122102120 is a wasteful number, since it uses less digits than its factorization.

122122102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698757 (or 698753 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122122102120 its reverse (21201221221), we get a palindrome (143323323341).

The spelling of 122122102120 in words is "one hundred twenty-two billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty".