2112100020 has 36 divisors (see below), whose sum is σ = 6406703940. Its totient is φ = 563226624.

The previous prime is 2112100013. The next prime is 2112100049. The reversal of 2112100020 is 200012112.

It can be written as a sum of positive squares in 2 ways, for example, as 1466736804 + 645363216 = 38298^2 + 25404^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2112099975 and 2112100011.

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 11 ways as a sum of consecutive naturals, for example, 5866765 + ... + 5867124.

Almost surely, 2^2112100020 is an apocalyptic number.

2112100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112100020 is an abundant number, since it is smaller than the sum of its proper divisors (4294603920).

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

2112100020 is a wasteful number, since it uses less digits than its factorization.

2112100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11733904 (or 11733899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2112100020 is about 45957.5893623676. The cubic root of 2112100020 is about 1283.0339853139.

Adding to 2112100020 its reverse (200012112), we get a palindrome (2312112132).

The spelling of 2112100020 in words is "two billion, one hundred twelve million, one hundred thousand, twenty".