2101112112020 has 24 divisors (see below), whose sum is σ = 4414061133384. Its totient is φ = 840116140416.

The previous prime is 2101112111971. The next prime is 2101112112037. The reversal of 2101112112020 is 202112111012.

It can be written as a sum of positive squares in 4 ways, for example, as 6643228036 + 2094468883984 = 81506^2 + 1447228^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2101112111986 and 2101112112004.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20491607 + ... + 20593886.

It is an arithmetic number, because the mean of its divisors is an integer number (183919213891).

Almost surely, 2^{2101112112020} is an apocalyptic number.

2101112112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101112112020 is an abundant number, since it is smaller than the sum of its proper divisors (2312949021364).

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

2101112112020 is a wasteful number, since it uses less digits than its factorization.

2101112112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41088059 (or 41088057 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2101112112020 its reverse (202112111012), we get a palindrome (2303224223032).

The spelling of 2101112112020 in words is "two trillion, one hundred one billion, one hundred twelve million, one hundred twelve thousand, twenty".