2112011100120 has 64 divisors (see below), whose sum is σ = 6455581117920. Its totient is φ = 552576487424.

The previous prime is 2112011100077. The next prime is 2112011100131. The reversal of 2112011100120 is 210011102112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2112011100096 and 2112011100105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166032249 + ... + 166044968.

Almost surely, 2^{2112011100120} is an apocalyptic number.

2112011100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112011100120 is an abundant number, since it is smaller than the sum of its proper divisors (4343570017800).

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

2112011100120 is a wasteful number, since it uses less digits than its factorization.

2112011100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332077284 (or 332077280 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2112011100120 its reverse (210011102112), we get a palindrome (2322022202232).

The spelling of 2112011100120 in words is "two trillion, one hundred twelve billion, eleven million, one hundred thousand, one hundred twenty".