2120122102120 has 64 divisors (see below), whose sum is σ = 5208707125440. Its totient is φ = 770246668800.

The previous prime is 2120122102073. The next prime is 2120122102121. The reversal of 2120122102120 is 212012210212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2120122102094 and 2120122102103.

It is not an unprimeable number, because it can be changed into a prime (2120122102121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1728237 + ... + 2688316.

It is an arithmetic number, because the mean of its divisors is an integer number (81386048835).

Almost surely, 2^{2120122102120} is an apocalyptic number.

2120122102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120122102120 is an abundant number, since it is smaller than the sum of its proper divisors (3088585023320).

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

2120122102120 is a wasteful number, since it uses less digits than its factorization.

2120122102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4417666 (or 4417662 counting only the distinct ones).

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

Adding to 2120122102120 its reverse (212012210212), we get a palindrome (2332134312332).

It can be divided in two parts, 212012 and 2102120, that added together give a palindrome (2314132).

The spelling of 2120122102120 in words is "two trillion, one hundred twenty billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty".