2012102122120 has 48 divisors (see below), whose sum is σ = 4809202591140. Its totient is φ = 757497265152.

The previous prime is 2012102122117. The next prime is 2012102122153. The reversal of 2012102122120 is 212212012102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1761263419876 + 250838702244 = 1327126^2 + 500838^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2012102122094 and 2012102122103.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87017079 + ... + 87040198.

Almost surely, 2^{2012102122120} is an apocalyptic number.

2012102122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012102122120 is an abundant number, since it is smaller than the sum of its proper divisors (2797100469020).

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

2012102122120 is a wasteful number, since it uses less digits than its factorization.

2012102122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174057322 (or 174057301 counting only the distinct ones).

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

Adding to 2012102122120 its reverse (212212012102), we get a palindrome (2224314134222).

The spelling of 2012102122120 in words is "two trillion, twelve billion, one hundred two million, one hundred twenty-two thousand, one hundred twenty".