2112110101020 has 48 divisors (see below), whose sum is σ = 5914193015808. Its totient is φ = 563202242880.

The previous prime is 2112110100953. The next prime is 2112110101081. The reversal of 2112110101020 is 201010112112.

It is a super-3 number, since 3×2112110101020³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 2112110100987 and 2112110101005.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 424957 + ... + 2098763.

It is an arithmetic number, because the mean of its divisors is an integer number (123212354496).

Almost surely, 2^{2112110101020} is an apocalyptic number.

2112110101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112110101020 is an abundant number, since it is smaller than the sum of its proper divisors (3802082914788).

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

2112110101020 is a wasteful number, since it uses less digits than its factorization.

2112110101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694850 (or 1694848 counting only the distinct ones).

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

Adding to 2112110101020 its reverse (201010112112), we get a palindrome (2313120213132).

The spelling of 2112110101020 in words is "two trillion, one hundred twelve billion, one hundred ten million, one hundred one thousand, twenty".