2112101122120 has 64 divisors (see below), whose sum is σ = 5197307198400. Its totient is φ = 766102106880.

The previous prime is 2112101122063. The next prime is 2112101122123. The reversal of 2112101122120 is 212211012112.

It is a junction number, because it is equal to n+sod(n) for n = 2112101122094 and 2112101122103.

It is not an unprimeable number, because it can be changed into a prime (2112101122123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5870950 + ... + 6220309.

It is an arithmetic number, because the mean of its divisors is an integer number (81207924975).

Almost surely, 2^{2112101122120} is an apocalyptic number.

2112101122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112101122120 is an abundant number, since it is smaller than the sum of its proper divisors (3085206076280).

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

2112101122120 is a wasteful number, since it uses less digits than its factorization.

2112101122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12091678 (or 12091674 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2112101122120 its reverse (212211012112), we get a palindrome (2324312134232).

The spelling of 2112101122120 in words is "two trillion, one hundred twelve billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty".