2112121013020 has 24 divisors (see below), whose sum is σ = 4450592208384. Its totient is φ = 841964961216.

The previous prime is 2112121012999. The next prime is 2112121013021. The reversal of 2112121013020 is 203101212112.

It is a super-2 number, since 2×2112121013020² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112121012985 and 2112121013003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112121013021) by changing a digit.

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, 180209244 + ... + 180220963.

It is an arithmetic number, because the mean of its divisors is an integer number (185441342016).

Almost surely, 2^{2112121013020} is an apocalyptic number.

2112121013020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112121013020 is an abundant number, since it is smaller than the sum of its proper divisors (2338471195364).

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

2112121013020 is a wasteful number, since it uses less digits than its factorization.

2112121013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360430509 (or 360430507 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2112121013020 its reverse (203101212112), we get a palindrome (2315222225132).

The spelling of 2112121013020 in words is "two trillion, one hundred twelve billion, one hundred twenty-one million, thirteen thousand, twenty".