2120112202120 has 64 divisors (see below), whose sum is σ = 5206803171840. Its totient is φ = 770521536000.

The previous prime is 2120112202073. The next prime is 2120112202121. The reversal of 2120112202120 is 212022110212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2120112202094 and 2120112202103.

It is not an unprimeable number, because it can be changed into a prime (2120112202121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 545272 + ... + 2130151.

It is an arithmetic number, because the mean of its divisors is an integer number (81356299560).

Almost surely, 2^{2120112202120} is an apocalyptic number.

2120112202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120112202120 is an abundant number, since it is smaller than the sum of its proper divisors (3086690969720).

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

2120112202120 is a wasteful number, since it uses less digits than its factorization.

2120112202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677246 (or 2677242 counting only the distinct ones).

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

Adding to 2120112202120 its reverse (212022110212), we get a palindrome (2332134312332).

It can be divided in two parts, 2120112 and 202120, that added together give a palindrome (2322232).

The spelling of 2120112202120 in words is "two trillion, one hundred twenty billion, one hundred twelve million, two hundred two thousand, one hundred twenty".